114957 has 12 divisors (see below), whose sum is σ = 169884. Its totient is φ = 74880.

The previous prime is 114941. The next prime is 114967. The reversal of 114957 is 759411.

114957 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 30276 = 291^2 + 174^2 .

It is not a de Polignac number, because 114957 - 2⁴ = 114941 is a prime.

It is a super-2 number, since 2×114957² = 26430223698, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (14157).

2¹¹⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

114957 is a deficient number, since it is larger than the sum of its proper divisors (54927).

114957 is a wasteful number, since it uses less digits than its factorization.

114957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 114957 is about 339.0530931875. The cubic root of 114957 is about 48.6233794945.

The spelling of 114957 in words is "one hundred fourteen thousand, nine hundred fifty-seven".