916317 has 24 divisors (see below), whose sum is σ = 1440504. Its totient is φ = 559104.

The previous prime is 916291. The next prime is 916319. The reversal of 916317 is 713619.

It can be written as a sum of positive squares in 4 ways, for example, as 95481 + 820836 = 309^2 + 906^2 .

It is not a de Polignac number, because 916317 - 2⁷ = 916189 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (1134) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8053 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (60021).

2⁹¹⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

916317 is a deficient number, since it is larger than the sum of its proper divisors (524187).

916317 is a wasteful number, since it uses less digits than its factorization.

916317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 916317 is about 957.2444828778. The cubic root of 916317 is about 97.1289248226.

It can be divided in two parts, 9163 and 17, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 916317 in words is "nine hundred sixteen thousand, three hundred seventeen".