917312 has 28 divisors (see below), whose sum is σ = 1987296. Its totient is φ = 416640.

The previous prime is 917291. The next prime is 917317. The reversal of 917312 is 213719.

It is a super-2 number, since 2×917312² = 1682922610688, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 917312.

It is not an unprimeable number, because it can be changed into a prime (917317) by changing a digit.

917312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 1355.

2⁹¹⁷³¹² 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 917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993648).

917312 is an abundant number, since it is smaller than the sum of its proper divisors (1069984).

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

917312 is a wasteful number, since it uses less digits than its factorization.

917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1316 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 917312 is about 957.7640628046. The cubic root of 917312 is about 97.1640685268.

Adding to 917312 its sum of digits (23), we get a triangular number (917335 = T₁₃₅₄).

The spelling of 917312 in words is "nine hundred seventeen thousand, three hundred twelve".