111957 has 8 divisors (see below), whose sum is σ = 151776. Its totient is φ = 73392.

The previous prime is 111953. The next prime is 111959. The reversal of 111957 is 759111.

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

It is not a de Polignac number, because 111957 - 2² = 111953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111953) 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, 78 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2¹¹¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

111957 is a deficient number, since it is larger than the sum of its proper divisors (39819).

111957 is an equidigital number, since it uses as much as digits as its factorization.

111957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627.

The product of its digits is 315, while the sum is 24.

The square root of 111957 is about 334.5997609085. The cubic root of 111957 is about 48.1966756774.

It can be divided in two parts, 1119 and 57, that added together give a triangular number (1176 = T₄₈).

The spelling of 111957 in words is "one hundred eleven thousand, nine hundred fifty-seven".