112977 has 6 divisors (see below), whose sum is σ = 163202. Its totient is φ = 75312.

The previous prime is 112967. The next prime is 112979. The reversal of 112977 is 779211.

112977 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 81 = 336^2 + 9^2 .

It is not a de Polignac number, because 112977 - 2⁶ = 112913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112977.

It is not an unprimeable number, because it can be changed into a prime (112979) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6268 + ... + 6285.

2¹¹²⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

112977 is a deficient number, since it is larger than the sum of its proper divisors (50225).

112977 is a wasteful number, since it uses less digits than its factorization.

112977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12559 (or 12556 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 112977 is about 336.1205141017. The cubic root of 112977 is about 48.3426009445.

It can be divided in two parts, 112 and 977, that added together give a square (1089 = 33²).

The spelling of 112977 in words is "one hundred twelve thousand, nine hundred seventy-seven".