2792961 has 30 divisors (see below), whose sum is σ = 4426422. Its totient is φ = 1753920.

The previous prime is 2792957. The next prime is 2792987. The reversal of 2792961 is 1692972.

It can be written as a sum of positive squares in 3 ways, for example, as 50625 + 2742336 = 225^2 + 1656^2 .

It is not a de Polignac number, because 2792961 - 2² = 2792957 is a prime.

It is a super-2 number, since 2×2792961² = 15601262295042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792161) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 68101 + ... + 68141.

2^2792961 is an apocalyptic number.

It is an amenable number.

2792961 is a deficient number, since it is larger than the sum of its proper divisors (1633461).

2792961 is an equidigital number, since it uses as much as digits as its factorization.

2792961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 2792961 is about 1671.2154259700. The cubic root of 2792961 is about 140.8277661591.

It can be divided in two parts, 279 and 2961, that added together give a triangular number (3240 = T₈₀).

The spelling of 2792961 in words is "two million, seven hundred ninety-two thousand, nine hundred sixty-one".