917964 has 36 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 298368.

The previous prime is 917951. The next prime is 917971. The reversal of 917964 is 469719.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 917964.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252 + ... + 1844.

It is an arithmetic number, because the mean of its divisors is an integer number (66066).

2⁹¹⁷⁹⁶⁴ 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 917964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189188).

917964 is an abundant number, since it is smaller than the sum of its proper divisors (1460412).

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

917964 is a wasteful number, since it uses less digits than its factorization.

917964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 917964 is about 958.1043784474. The cubic root of 917964 is about 97.1870835857.

It can be divided in two parts, 917 and 964, that added together give a palindrome (1881).

The spelling of 917964 in words is "nine hundred seventeen thousand, nine hundred sixty-four".