115957 has 8 divisors (see below), whose sum is σ = 129600. Its totient is φ = 103104.

The previous prime is 115933. The next prime is 115963. The reversal of 115957 is 759511.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 115957 - 2¹¹ = 113909 is a prime.

It is a Duffinian number.

115957 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2¹¹⁵⁹⁵⁷ is an apocalyptic number.

115957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

115957 is a deficient number, since it is larger than the sum of its proper divisors (13643).

115957 is a wasteful number, since it uses less digits than its factorization.

115957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its digits is 1575, while the sum is 28.

The square root of 115957 is about 340.5245952938. The cubic root of 115957 is about 48.7639626891.

The spelling of 115957 in words is "one hundred fifteen thousand, nine hundred fifty-seven".