117612 has 54 divisors (see below), whose sum is σ = 338884. Its totient is φ = 35640.

The previous prime is 117577. The next prime is 117617. The reversal of 117612 is 216711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

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

It is not an unprimeable number, because it can be changed into a prime (117617) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10687 + ... + 10697.

2¹¹⁷⁶¹² is an apocalyptic number.

117612 is a gapful number since it is divisible by the number (12) 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 117612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169442).

117612 is an abundant number, since it is smaller than the sum of its proper divisors (221272).

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

117612 is a wasteful number, since it uses less digits than its factorization.

117612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 16 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 117612 is about 342.9460598986. The cubic root of 117612 is about 48.9948627128.

Subtracting 117612 from its reverse (216711), we obtain a palindrome (99099).

It can be divided in two parts, 117 and 612, that added together give a 6-th power (729 = 3⁶).

The spelling of 117612 in words is "one hundred seventeen thousand, six hundred twelve".