113766 has 16 divisors (see below), whose sum is σ = 231744. Its totient is φ = 37224.

The previous prime is 113761. The next prime is 113777. The reversal of 113766 is 667311.

It is a Curzon number.

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, 261 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (14484).

2¹¹³⁷⁶⁶ is an apocalyptic number.

113766 is an abundant number, since it is smaller than the sum of its proper divisors (117978).

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

113766 is a wasteful number, since it uses less digits than its factorization.

113766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its digits is 756, while the sum is 24.

The square root of 113766 is about 337.2921582249. The cubic root of 113766 is about 48.4548770812.

The spelling of 113766 in words is "one hundred thirteen thousand, seven hundred sixty-six".