916712 has 32 divisors (see below), whose sum is σ = 1869600. Its totient is φ = 419904.

The previous prime is 916703. The next prime is 916733. The reversal of 916712 is 217619.

916712 = 114² + 115² + ... + 161².

It is an unprimeable number.

916712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5543 + ... + 5705.

It is an arithmetic number, because the mean of its divisors is an integer number (58425).

2⁹¹⁶⁷¹² is an apocalyptic number.

It is an amenable number.

916712 is an abundant number, since it is smaller than the sum of its proper divisors (952888).

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

916712 is a wasteful number, since it uses less digits than its factorization.

916712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 756, while the sum is 26.

The square root of 916712 is about 957.4507820249. The cubic root of 916712 is about 97.1428793870.

The spelling of 916712 in words is "nine hundred sixteen thousand, seven hundred twelve".