2597 has 6 divisors (see below), whose sum is σ = 3078. Its totient is φ = 2184.

The previous prime is 2593. The next prime is 2609. The reversal of 2597 is 7952.

It can be written as a sum of positive squares in only one way, i.e., 2401 + 196 = 49^2 + 14^2 .

It is not a de Polignac number, because 2597 - 2^{2} = 2593 is a prime.

It is a d-powerful number, because it can be written as **2**^{11} + **9**^{2} + **5**^{3} + **7**^{3} .

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2597.

It is not an unprimeable number, because it can be changed into a prime (2591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (513).

It is an amenable number.

2597 is a deficient number, since it is larger than the sum of its proper divisors (481).

2597 is an equidigital number, since it uses as much as digits as its factorization.

2597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 2597 is about 50.9607692250. The cubic root of 2597 is about 13.7453979089.

The spelling of 2597 in words is "two thousand, five hundred ninety-seven".

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