115457693 has 16 divisors (see below), whose sum is σ = 132024816. Its totient is φ = 100024320.

The previous prime is 115457669. The next prime is 115457701. The reversal of 115457693 is 396754511.

It can be written as a sum of positive squares in 8 ways, for example, as 3161284 + 112296409 = 1778^2 + 10597^2 .

It is a cyclic number.

It is not a de Polignac number, because 115457693 - 2⁸ = 115457437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115457693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115457633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130613 + ... + 131493.

It is an arithmetic number, because the mean of its divisors is an integer number (8251551).

Almost surely, 2^115457693 is an apocalyptic number.

115457693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

115457693 is a deficient number, since it is larger than the sum of its proper divisors (16567123).

115457693 is a wasteful number, since it uses less digits than its factorization.

115457693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504.

The product of its digits is 113400, while the sum is 41.

The square root of 115457693 is about 10745.1241500506. The cubic root of 115457693 is about 486.9386998444.

The spelling of 115457693 in words is "one hundred fifteen million, four hundred fifty-seven thousand, six hundred ninety-three".