113364 has 36 divisors (see below), whose sum is σ = 297024. Its totient is φ = 36432.

The previous prime is 113363. The next prime is 113371. The reversal of 113364 is 463311.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1659 + ... + 1725.

2¹¹³³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512).

113364 is an abundant number, since it is smaller than the sum of its proper divisors (183660).

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

113364 is a wasteful number, since it uses less digits than its factorization.

113364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113364 is about 336.6957083184. The cubic root of 113364 is about 48.3977368429.

Adding to 113364 its reverse (463311), we get a palindrome (576675).

It can be divided in two parts, 11 and 3364, that added together give a cube (3375 = 15³).

The spelling of 113364 in words is "one hundred thirteen thousand, three hundred sixty-four".