1117312 has 64 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 451584.

The previous prime is 1117309. The next prime is 1117321. The reversal of 1117312 is 2137111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1117312² = 2496772210688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25963 + ... + 26005.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2^1117312 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 1117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346400).

1117312 is an abundant number, since it is smaller than the sum of its proper divisors (1575488).

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

1117312 is an equidigital number, since it uses as much as digits as its factorization.

1117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its digits is 42, while the sum is 16.

The square root of 1117312 is about 1057.0298009044. The cubic root of 1117312 is about 103.7667355787.

The spelling of 1117312 in words is "one million, one hundred seventeen thousand, three hundred twelve".