113769 has 6 divisors (see below), whose sum is σ = 164346. Its totient is φ = 75840.

The previous prime is 113761. The next prime is 113777. The reversal of 113769 is 967311.

It is an interprime number because it is at equal distance from previous prime (113761) and next prime (113777).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 56169 = 240^2 + 237^2 .

It is not a de Polignac number, because 113769 - 2³ = 113761 is a prime.

It is a super-2 number, since 2×113769² = 25886770722, which contains 22 as substring.

113769 is a lucky 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 5 ways as a sum of consecutive naturals, for example, 6312 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (27391).

2¹¹³⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

113769 is a deficient number, since it is larger than the sum of its proper divisors (50577).

113769 is a wasteful number, since it uses less digits than its factorization.

113769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647 (or 12644 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 113769 is about 337.2966053787. The cubic root of 113769 is about 48.4553029945.

The spelling of 113769 in words is "one hundred thirteen thousand, seven hundred sixty-nine".