802952 has 16 divisors (see below), whose sum is σ = 1557900. Its totient is φ = 387520.

The previous prime is 802951. The next prime is 802969. The reversal of 802952 is 259208.

It can be written as a sum of positive squares in 2 ways, for example, as 784996 + 17956 = 886^2 + 134^2 .

802952 is a modest number, since divided by 2952 gives 8 as remainder.

It is not an unprimeable number, because it can be changed into a prime (802951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1499 + ... + 1962.

2⁸⁰²⁹⁵² is an apocalyptic number.

It is an amenable number.

802952 is a deficient number, since it is larger than the sum of its proper divisors (754948).

802952 is a wasteful number, since it uses less digits than its factorization.

802952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 802952 is about 896.0758896433. The cubic root of 802952 is about 92.9458195996.

The spelling of 802952 in words is "eight hundred two thousand, nine hundred fifty-two".