2597953 has 2 divisors, whose sum is σ = 2597954. Its totient is φ = 2597952.

The previous prime is 2597939. The next prime is 2597963. The reversal of 2597953 is 3597952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2334784 + 263169 = 1528^2 + 513^2 .

It is a cyclic number.

It is not a de Polignac number, because 2597953 - 2¹⁷ = 2466881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2597963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1298976 + 1298977.

It is an arithmetic number, because the mean of its divisors is an integer number (1298977).

2^2597953 is an apocalyptic number.

It is an amenable number.

2597953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2597953 is an equidigital number, since it uses as much as digits as its factorization.

2597953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 85050, while the sum is 40.

The square root of 2597953 is about 1611.8166769208. The cubic root of 2597953 is about 137.4707904896.

Subtracting 2597953 from its reverse (3597952), we obtain a palindrome (999999).

The spelling of 2597953 in words is "two million, five hundred ninety-seven thousand, nine hundred fifty-three".