495657 has 6 divisors (see below), whose sum is σ = 715962. Its totient is φ = 330432.

The previous prime is 495647. The next prime is 495667. The reversal of 495657 is 756594.

It is an interprime number because it is at equal distance from previous prime (495647) and next prime (495667).

It can be written as a sum of positive squares in only one way, i.e., 488601 + 7056 = 699^2 + 84^2 .

It is not a de Polignac number, because 495657 - 2⁸ = 495401 is a prime.

495657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (495617) 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, 27528 + ... + 27545.

It is an arithmetic number, because the mean of its divisors is an integer number (119327).

2⁴⁹⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

495657 is a deficient number, since it is larger than the sum of its proper divisors (220305).

495657 is a wasteful number, since it uses less digits than its factorization.

495657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55079 (or 55076 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 495657 is about 704.0291187160. The cubic root of 495657 is about 79.1395812544.

The spelling of 495657 in words is "four hundred ninety-five thousand, six hundred fifty-seven".