917125 has 32 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 616000.

The previous prime is 917123. The next prime is 917141. The reversal of 917125 is 521719.

It is not a de Polignac number, because 917125 - 2¹ = 917123 is a prime.

It is a super-2 number, since 2×917125² = 1682236531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 917125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (917123) 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 31 ways as a sum of consecutive naturals, for example, 31611 + ... + 31639.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁹¹⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

917125 is a deficient number, since it is larger than the sum of its proper divisors (430715).

917125 is a wasteful number, since it uses less digits than its factorization.

917125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 630, while the sum is 25.

The square root of 917125 is about 957.6664346212. Note that the first 3 decimals coincide. The cubic root of 917125 is about 97.1574655696.

The spelling of 917125 in words is "nine hundred seventeen thousand, one hundred twenty-five".