917320 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 322560.

The previous prime is 917317. The next prime is 917327. The reversal of 917320 is 23719.

It is a junction number, because it is equal to n+sod(n) for n = 917291 and 917300.

It is not an unprimeable number, because it can be changed into a prime (917327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12885 + ... + 12955.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁹¹⁷³²⁰ 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 917320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

917320 is an abundant number, since it is smaller than the sum of its proper divisors (1415480).

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

917320 is a wasteful number, since it uses less digits than its factorization.

917320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 917320 is about 957.7682391894. The cubic root of 917320 is about 97.1643509862.

The spelling of 917320 in words is "nine hundred seventeen thousand, three hundred twenty".