2972331 has 12 divisors (see below), whose sum is σ = 4546152. Its totient is φ = 1864896.

The previous prime is 2972323. The next prime is 2972351. The reversal of 2972331 is 1332792.

It is not a de Polignac number, because 2972331 - 2³ = 2972323 is a prime.

It is a super-2 number, since 2×2972331² = 17669503147122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2972295 and 2972304.

It is not an unprimeable number, because it can be changed into a prime (2972351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9561 + ... + 9866.

It is an arithmetic number, because the mean of its divisors is an integer number (378846).

2^2972331 is an apocalyptic number.

2972331 is a deficient number, since it is larger than the sum of its proper divisors (1573821).

2972331 is a wasteful number, since it uses less digits than its factorization.

2972331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19450 (or 19447 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2972331 is about 1724.0449530102. The cubic root of 2972331 is about 143.7801912641.

It can be divided in two parts, 297 and 2331, that added together give a triangular number (2628 = T₇₂).

The spelling of 2972331 in words is "two million, nine hundred seventy-two thousand, three hundred thirty-one".