2957013 has 8 divisors (see below), whose sum is σ = 4380800. Its totient is φ = 1971324.

The previous prime is 2956999. The next prime is 2957023. The reversal of 2957013 is 3107592.

It is not a de Polignac number, because 2957013 - 2¹⁸ = 2694869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 109519 = 2957013 / (2 + 9 + 5 + 7 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957023) 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 7 ways as a sum of consecutive naturals, for example, 54733 + ... + 54786.

It is an arithmetic number, because the mean of its divisors is an integer number (547600).

2^2957013 is an apocalyptic number.

It is an amenable number.

2957013 is a deficient number, since it is larger than the sum of its proper divisors (1423787).

2957013 is a wasteful number, since it uses less digits than its factorization.

2957013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109528 (or 109522 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2957013 is about 1719.5967550563. The cubic root of 2957013 is about 143.5327738600.

The spelling of 2957013 in words is "two million, nine hundred fifty-seven thousand, thirteen".