505995 has 32 divisors (see below), whose sum is σ = 952320. Its totient is φ = 224640.

The previous prime is 505979. The next prime is 506047. The reversal of 505995 is 599505.

It is not a de Polignac number, because 505995 - 2⁴ = 505979 is a prime.

505995 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6366 + ... + 6444.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁵⁰⁵⁹⁹⁵ is an apocalyptic number.

505995 is a deficient number, since it is larger than the sum of its proper divisors (446325).

505995 is a wasteful number, since it uses less digits than its factorization.

505995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 10125, while the sum is 33.

The square root of 505995 is about 711.3332552327. Note that the first 3 decimals coincide. The cubic root of 505995 is about 79.6860088148.

The spelling of 505995 in words is "five hundred five thousand, nine hundred ninety-five".