457137 has 8 divisors (see below), whose sum is σ = 677280. Its totient is φ = 304740.

The previous prime is 457117. The next prime is 457139. The reversal of 457137 is 731754.

It is not a de Polignac number, because 457137 - 2⁸ = 456881 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: 16931 = 457137 / (4 + 5 + 7 + 1 + 3 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 457137.

It is not an unprimeable number, because it can be changed into a prime (457139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8439 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (84660).

2⁴⁵⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

457137 is a deficient number, since it is larger than the sum of its proper divisors (220143).

457137 is a wasteful number, since it uses less digits than its factorization.

457137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940 (or 16934 counting only the distinct ones).

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

The square root of 457137 is about 676.1190723534. The cubic root of 457137 is about 77.0339424202.

The spelling of 457137 in words is "four hundred fifty-seven thousand, one hundred thirty-seven".