917120 has 32 divisors (see below), whose sum is σ = 2194020. Its totient is φ = 366592.

The previous prime is 917117. The next prime is 917123. The reversal of 917120 is 21719.

It is an interprime number because it is at equal distance from previous prime (917117) and next prime (917123).

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 10816 = 952^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×917120² = 1682218188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 917092 and 917101.

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 1356.

2⁹¹⁷¹²⁰ 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 917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097010).

917120 is an abundant number, since it is smaller than the sum of its proper divisors (1276900).

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

917120 is a wasteful number, since it uses less digits than its factorization.

917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 917120 is about 957.6638241053. The cubic root of 917120 is about 97.1572890076.

Adding to 917120 its reverse (21719), we get a palindrome (938839).

The spelling of 917120 in words is "nine hundred seventeen thousand, one hundred twenty".