983952 has 30 divisors (see below), whose sum is σ = 2754102. Its totient is φ = 327936.

The previous prime is 983951. The next prime is 983987. The reversal of 983952 is 259389.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 318096 = 816^2 + 564^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983952.

It is not an unprimeable number, because it can be changed into a prime (983951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3273 + ... + 3560.

2⁹⁸³⁹⁵² is an apocalyptic number.

It is an amenable number.

983952 is an abundant number, since it is smaller than the sum of its proper divisors (1770150).

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

983952 is a wasteful number, since it uses less digits than its factorization.

983952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6838 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 983952 is about 991.9435467808. The cubic root of 983952 is about 99.4621793416.

The spelling of 983952 in words is "nine hundred eighty-three thousand, nine hundred fifty-two".