917472 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 289152.

The previous prime is 917471. The next prime is 917503. The reversal of 917472 is 274719.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (917471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁹¹⁷⁴⁷² 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 917472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

917472 is an abundant number, since it is smaller than the sum of its proper divisors (1622688).

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

917472 is a wasteful number, since it uses less digits than its factorization.

917472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 917472 is about 957.8475870409. The cubic root of 917472 is about 97.1697174035.

The spelling of 917472 in words is "nine hundred seventeen thousand, four hundred seventy-two".