803972 has 12 divisors (see below), whose sum is σ = 1515276. Its totient is φ = 371040.

The previous prime is 803963. The next prime is 803977. The reversal of 803972 is 279308.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 662596 = 376^2 + 814^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (803977) by changing a digit.

803972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7679 + ... + 7782.

It is an arithmetic number, because the mean of its divisors is an integer number (126273).

2⁸⁰³⁹⁷² is an apocalyptic number.

It is an amenable number.

803972 is a deficient number, since it is larger than the sum of its proper divisors (711304).

803972 is a wasteful number, since it uses less digits than its factorization.

803972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 803972 is about 896.6448572317. The cubic root of 803972 is about 92.9851596931.

The spelling of 803972 in words is "eight hundred three thousand, nine hundred seventy-two".