803952 has 40 divisors (see below), whose sum is σ = 2308880. Its totient is φ = 267840.

The previous prime is 803939. The next prime is 803963. The reversal of 803952 is 259308.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

803952 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

2⁸⁰³⁹⁵² is an apocalyptic number.

It is an amenable number.

803952 is an abundant number, since it is smaller than the sum of its proper divisors (1504928).

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

803952 is a wasteful number, since it uses less digits than its factorization.

803952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 803952 is about 896.6337044747. The cubic root of 803952 is about 92.9843886387.

Subtracting from 803952 its reverse (259308), we obtain a square (544644 = 738²).

The spelling of 803952 in words is "eight hundred three thousand, nine hundred fifty-two".