2971257 has 16 divisors (see below), whose sum is σ = 4190208. Its totient is φ = 1869840.

The previous prime is 2971247. The next prime is 2971259. The reversal of 2971257 is 7521792.

It is not a de Polignac number, because 2971257 - 2⁶ = 2971193 is a prime.

2971257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2971259) 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 15 ways as a sum of consecutive naturals, for example, 3628 + ... + 4370.

It is an arithmetic number, because the mean of its divisors is an integer number (261888).

2^2971257 is an apocalyptic number.

It is an amenable number.

2971257 is a deficient number, since it is larger than the sum of its proper divisors (1218951).

2971257 is a wasteful number, since it uses less digits than its factorization.

2971257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its digits is 8820, while the sum is 33.

The square root of 2971257 is about 1723.7334480714. The cubic root of 2971257 is about 143.7628716892.

The spelling of 2971257 in words is "two million, nine hundred seventy-one thousand, two hundred fifty-seven".