495117 has 24 divisors (see below), whose sum is σ = 848640. Its totient is φ = 272160.

The previous prime is 495113. The next prime is 495119. The reversal of 495117 is 711594.

It is not a de Polignac number, because 495117 - 2² = 495113 is a prime.

495117 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 495117.

It is not an unprimeable number, because it can be changed into a prime (495113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (35360).

2⁴⁹⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

495117 is a deficient number, since it is larger than the sum of its proper divisors (353523).

495117 is a wasteful number, since it uses less digits than its factorization.

495117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 495117 is about 703.6455073402. The cubic root of 495117 is about 79.1108309272.

The spelling of 495117 in words is "four hundred ninety-five thousand, one hundred seventeen".