113764 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 45696.

The previous prime is 113761. The next prime is 113777. The reversal of 113764 is 467311.

113764 = 57² + 58² + ... + 80².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113761) 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, 357 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹¹³⁷⁶⁴ is an apocalyptic number.

113764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

113764 is an abundant number, since it is smaller than the sum of its proper divisors (128156).

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

113764 is a wasteful number, since it uses less digits than its factorization.

113764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 113764 is about 337.2891934231. The cubic root of 113764 is about 48.4545931348.

The spelling of 113764 in words is "one hundred thirteen thousand, seven hundred sixty-four".