113776 has 20 divisors (see below), whose sum is σ = 237832. Its totient is φ = 52416.

The previous prime is 113761. The next prime is 113777. The reversal of 113776 is 677311.

113776 is nontrivially palindromic in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 113776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66 + ... + 481.

2¹¹³⁷⁷⁶ is an apocalyptic number.

113776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113776 is an abundant number, since it is smaller than the sum of its proper divisors (124056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113776 is a wasteful number, since it uses less digits than its factorization.

113776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 113776 is about 337.3069818429. The cubic root of 113776 is about 48.4562967630.

The spelling of 113776 in words is "one hundred thirteen thousand, seven hundred seventy-six".