117312 has 56 divisors (see below), whose sum is σ = 341376. Its totient is φ = 35328.

The previous prime is 117307. The next prime is 117319. The reversal of 117312 is 213711.

It is a junction number, because it is equal to n+sod(n) for n = 117291 and 117300.

It is not an unprimeable number, because it can be changed into a prime (117319) 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, 2473 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2¹¹⁷³¹² is an apocalyptic number.

117312 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 117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688).

117312 is an abundant number, since it is smaller than the sum of its proper divisors (224064).

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

117312 is a wasteful number, since it uses less digits than its factorization.

117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 117312 is about 342.5083940577. The cubic root of 117312 is about 48.9531691953.

The spelling of 117312 in words is "one hundred seventeen thousand, three hundred twelve", and thus it is an iban number.