803232 has 36 divisors (see below), whose sum is σ = 2285010. Its totient is φ = 267648.

The previous prime is 803227. The next prime is 803237. The reversal of 803232 is 232308.

It is an interprime number because it is at equal distance from previous prime (803227) and next prime (803237).

It can be written as a sum of positive squares in only one way, i.e., 646416 + 156816 = 804^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (803237) 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, 1107 + ... + 1682.

2⁸⁰³²³² is an apocalyptic number.

It is an amenable number.

803232 is an abundant number, since it is smaller than the sum of its proper divisors (1481778).

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

803232 is a wasteful number, since it uses less digits than its factorization.

803232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 803232 is about 896.2321127922. The cubic root of 803232 is about 92.9566221569.

It can be divided in two parts, 803 and 232, that added together give a triangular number (1035 = T₄₅).

The spelling of 803232 in words is "eight hundred three thousand, two hundred thirty-two".