495957 has 32 divisors (see below), whose sum is σ = 875520. Its totient is φ = 241920.

The previous prime is 495953. The next prime is 495959. The reversal of 495957 is 759594.

It is not a de Polignac number, because 495957 - 2² = 495953 is a prime.

495957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333 + ... + 4445.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁴⁹⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

495957 is a deficient number, since it is larger than the sum of its proper divisors (379563).

495957 is a wasteful number, since it uses less digits than its factorization.

495957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its digits is 56700, while the sum is 39.

The square root of 495957 is about 704.2421458561. The cubic root of 495957 is about 79.1555446364.

It can be divided in two parts, 49 and 5957, that added together give a palindrome (6006).

The spelling of 495957 in words is "four hundred ninety-five thousand, nine hundred fifty-seven".