957984 has 48 divisors (see below), whose sum is σ = 2667168. Its totient is φ = 300032.

The previous prime is 957977. The next prime is 957991. The reversal of 957984 is 489759.

It is an interprime number because it is at equal distance from previous prime (957977) and next prime (957991).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2⁹⁵⁷⁹⁸⁴ 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 957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333584).

957984 is an abundant number, since it is smaller than the sum of its proper divisors (1709184).

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

957984 is a wasteful number, since it uses less digits than its factorization.

957984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 957984 is about 978.7665707410. The cubic root of 957984 is about 98.5793806409.

The spelling of 957984 in words is "nine hundred fifty-seven thousand, nine hundred eighty-four".