2257137 has 6 divisors (see below), whose sum is σ = 3260322. Its totient is φ = 1504752.

The previous prime is 2257121. The next prime is 2257139. The reversal of 2257137 is 7317522.

It can be written as a sum of positive squares in only one way, i.e., 2187441 + 69696 = 1479^2 + 264^2 .

It is not a de Polignac number, because 2257137 - 2⁴ = 2257121 is a prime.

2257137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2257137.

It is not an unprimeable number, because it can be changed into a prime (2257139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125388 + ... + 125405.

It is an arithmetic number, because the mean of its divisors is an integer number (543387).

2^2257137 is an apocalyptic number.

It is an amenable number.

2257137 is a deficient number, since it is larger than the sum of its proper divisors (1003185).

2257137 is a wasteful number, since it uses less digits than its factorization.

2257137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250799 (or 250796 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2257137 is about 1502.3771164391. The cubic root of 2257137 is about 131.1754733364.

The spelling of 2257137 in words is "two million, two hundred fifty-seven thousand, one hundred thirty-seven".