652792 has 16 divisors (see below), whose sum is σ = 1398960. Its totient is φ = 279744.

The previous prime is 652787. The next prime is 652811. The reversal of 652792 is 297256.

It is a super-2 number, since 2×652792² = 852274790528, which contains 22 as substring.

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 652792.

It is an unprimeable number.

652792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5773 + ... + 5884.

It is an arithmetic number, because the mean of its divisors is an integer number (87435).

2⁶⁵²⁷⁹² is an apocalyptic number.

It is an amenable number.

652792 is an abundant number, since it is smaller than the sum of its proper divisors (746168).

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

652792 is a wasteful number, since it uses less digits than its factorization.

652792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 11666 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 652792 is about 807.9554443161. The cubic root of 652792 is about 86.7477610453.

It can be divided in two parts, 652 and 792, that added together give a square (1444 = 38²).

The spelling of 652792 in words is "six hundred fifty-two thousand, seven hundred ninety-two".