7972803 has 16 divisors (see below), whose sum is σ = 11980800. Its totient is φ = 5239080.

The previous prime is 7972781. The next prime is 7972817. The reversal of 7972803 is 3082797.

It is not a de Polignac number, because 7972803 - 2⁵ = 7972771 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7972103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (748800).

Almost surely, 2^7972803 is an apocalyptic number.

7972803 is a deficient number, since it is larger than the sum of its proper divisors (4007997).

7972803 is a wasteful number, since it uses less digits than its factorization.

7972803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7972803 is about 2823.6152358280. The cubic root of 7972803 is about 199.7731010149.

It can be divided in two parts, 797 and 2803, that added together give a square (3600 = 60²).

The spelling of 7972803 in words is "seven million, nine hundred seventy-two thousand, eight hundred three".