506955 has 8 divisors (see below), whose sum is σ = 811152. Its totient is φ = 270368.

The previous prime is 506941. The next prime is 506963. The reversal of 506955 is 559605.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506955 - 2⁸ = 506699 is a prime.

It is a super-3 number, since 3×506955³ = 390867433394801625, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506955.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16884 + ... + 16913.

It is an arithmetic number, because the mean of its divisors is an integer number (101394).

2⁵⁰⁶⁹⁵⁵ is an apocalyptic number.

506955 is a deficient number, since it is larger than the sum of its proper divisors (304197).

506955 is a wasteful number, since it uses less digits than its factorization.

506955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33805.

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 506955 is about 712.0077246772. The cubic root of 506955 is about 79.7363717897.

Subtracting 506955 from its reverse (559605), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 506955 in words is "five hundred six thousand, nine hundred fifty-five".