992952 has 32 divisors (see below), whose sum is σ = 2758800. Its totient is φ = 330912.

The previous prime is 992947. The next prime is 992963. The reversal of 992952 is 259299.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083 + ... + 2514.

2⁹⁹²⁹⁵² is an apocalyptic number.

It is an amenable number.

992952 is an abundant number, since it is smaller than the sum of its proper divisors (1765848).

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

992952 is a wasteful number, since it uses less digits than its factorization.

992952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4602 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 992952 is about 996.4697687336. The cubic root of 992952 is about 99.7645125586.

The spelling of 992952 in words is "nine hundred ninety-two thousand, nine hundred fifty-two".