6972831 has 8 divisors (see below), whose sum is σ = 10330160. Its totient is φ = 4648536.

The previous prime is 6972827. The next prime is 6972851. The reversal of 6972831 is 1382796.

It is not a de Polignac number, because 6972831 - 2² = 6972827 is a prime.

It is a super-2 number, since 2×6972831² = 97240744309122, which contains 22 as substring.

It is a Duffinian number.

6972831 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129100 + ... + 129153.

It is an arithmetic number, because the mean of its divisors is an integer number (1291270).

Almost surely, 2^6972831 is an apocalyptic number.

6972831 is a deficient number, since it is larger than the sum of its proper divisors (3357329).

6972831 is a wasteful number, since it uses less digits than its factorization.

6972831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258262 (or 258256 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6972831 is about 2640.6118609141. The cubic root of 6972831 is about 191.0453096457.

It can be divided in two parts, 69 and 72831, that added together give a square (72900 = 270²).

The spelling of 6972831 in words is "six million, nine hundred seventy-two thousand, eight hundred thirty-one".