820973272 has 16 divisors (see below), whose sum is σ = 1759228560. Its totient is φ = 351845664.

The previous prime is 820973249. The next prime is 820973273. The reversal of 820973272 is 272379028.

It is a super-2 number, since 2×820973272² = 1347994226676771968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820973273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7330063 + ... + 7330174.

It is an arithmetic number, because the mean of its divisors is an integer number (109951785).

Almost surely, 2^820973272 is an apocalyptic number.

It is an amenable number.

820973272 is an abundant number, since it is smaller than the sum of its proper divisors (938255288).

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

820973272 is a wasteful number, since it uses less digits than its factorization.

820973272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660250 (or 14660246 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 820973272 is about 28652.6311531768. The cubic root of 820973272 is about 936.3603301345.

The spelling of 820973272 in words is "eight hundred twenty million, nine hundred seventy-three thousand, two hundred seventy-two".