113877 has 6 divisors (see below), whose sum is σ = 164502. Its totient is φ = 75912.

The previous prime is 113843. The next prime is 113891. The reversal of 113877 is 778311.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 53361 = 246^2 + 231^2 .

It is not a de Polignac number, because 113877 - 2⁷ = 113749 is a prime.

It is a super-2 number, since 2×113877² = 25935942258, 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 113877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6318 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (27417).

2¹¹³⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

113877 is a deficient number, since it is larger than the sum of its proper divisors (50625).

113877 is a wasteful number, since it uses less digits than its factorization.

113877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659 (or 12656 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 113877 is about 337.4566638844. The cubic root of 113877 is about 48.4706308889.

It can be divided in two parts, 113 and 877, that added together give a triangular number (990 = T₄₄).

The spelling of 113877 in words is "one hundred thirteen thousand, eight hundred seventy-seven".