115657641 has 24 divisors (see below), whose sum is σ = 185346720. Its totient is φ = 68904000.

The previous prime is 115657637. The next prime is 115657657. The reversal of 115657641 is 146756511.

It is a happy number.

115657641 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 7 + 641 = 666.

It is not a de Polignac number, because 115657641 - 2² = 115657637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 115657596 and 115657605.

It is not an unprimeable number, because it can be changed into a prime (115657601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4060 + ... + 15741.

It is an arithmetic number, because the mean of its divisors is an integer number (7722780).

Almost surely, 2^115657641 is an apocalyptic number.

115657641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115657641 is a deficient number, since it is larger than the sum of its proper divisors (69689079).

115657641 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 115657641 = (671145651)₈.

115657641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19877 (or 19874 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 115657641 is about 10754.4242523717. The cubic root of 115657641 is about 487.2196289219.

It can be divided in two parts, 115 and 657641, that added together give a palindrome (657756).

The spelling of 115657641 in words is "one hundred fifteen million, six hundred fifty-seven thousand, six hundred forty-one".