2792972 has 24 divisors (see below), whose sum is σ = 6016416. Its totient is φ = 1104768.

The previous prime is 2792957. The next prime is 2792987.

2792972 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2792957) and next prime (2792987).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3473 + ... + 4200.

It is an arithmetic number, because the mean of its divisors is an integer number (250684).

2^2792972 is an apocalyptic number.

It is an amenable number.

2792972 is an abundant number, since it is smaller than the sum of its proper divisors (3223444).

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

2792972 is a wasteful number, since it uses less digits than its factorization.

2792972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7695 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 2792972 is about 1671.2187169847. The cubic root of 2792972 is about 140.8279510410.

The spelling of 2792972 in words is "two million, seven hundred ninety-two thousand, nine hundred seventy-two".