657157 has 4 divisors (see below), whose sum is σ = 674956. Its totient is φ = 639360.

The previous prime is 657131. The next prime is 657187. The reversal of 657157 is 751756.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 427716 + 229441 = 654^2 + 479^2 .

It is not a de Polignac number, because 657157 - 2⁷ = 657029 is a prime.

It is a Duffinian number.

657157 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8844 + ... + 8917.

It is an arithmetic number, because the mean of its divisors is an integer number (168739).

2⁶⁵⁷¹⁵⁷ is an apocalyptic number.

It is an amenable number.

657157 is a deficient number, since it is larger than the sum of its proper divisors (17799).

657157 is a wasteful number, since it uses less digits than its factorization.

657157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17798.

The product of its digits is 7350, while the sum is 31.

The square root of 657157 is about 810.6522065596. The cubic root of 657157 is about 86.9406826912.

The spelling of 657157 in words is "six hundred fifty-seven thousand, one hundred fifty-seven".