116957 has 8 divisors (see below), whose sum is σ = 125400. Its totient is φ = 108864.

The previous prime is 116953. The next prime is 116959. The reversal of 116957 is 759611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52441 + 64516 = 229^2 + 254^2 .

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 116957 - 2² = 116953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116953) 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, 1019 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (15675).

2¹¹⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

116957 is a deficient number, since it is larger than the sum of its proper divisors (8443).

116957 is a wasteful number, since it uses less digits than its factorization.

116957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its digits is 1890, while the sum is 29.

The square root of 116957 is about 341.9897659287. The cubic root of 116957 is about 48.9037399403.

The spelling of 116957 in words is "one hundred sixteen thousand, nine hundred fifty-seven".