113624 has 16 divisors (see below), whose sum is σ = 243600. Its totient is φ = 48672.

The previous prime is 113623. The next prime is 113647. The reversal of 113624 is 426311.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 959 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (15225).

2¹¹³⁶²⁴ is an apocalyptic number.

113624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113624 is an abundant number, since it is smaller than the sum of its proper divisors (129976).

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

113624 is a wasteful number, since it uses less digits than its factorization.

113624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 113624 is about 337.0815924965. The cubic root of 113624 is about 48.4347086147.

Adding to 113624 its reverse (426311), we get a palindrome (539935).

It can be divided in two parts, 113 and 624, that added together give a palindrome (737).

The spelling of 113624 in words is "one hundred thirteen thousand, six hundred twenty-four".