917952 has 56 divisors (see below), whose sum is σ = 2779776. Its totient is φ = 261888.

The previous prime is 917951. The next prime is 917971. The reversal of 917952 is 259719.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 917952.

It is not an unprimeable number, because it can be changed into a prime (917951) 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, 1003 + ... + 1685.

2⁹¹⁷⁹⁵² 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 917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389888).

917952 is an abundant number, since it is smaller than the sum of its proper divisors (1861824).

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

917952 is a wasteful number, since it uses less digits than its factorization.

917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 917952 is about 958.0981160612. The cubic root of 917952 is about 97.1866600941.

The spelling of 917952 in words is "nine hundred seventeen thousand, nine hundred fifty-two".