507966 has 16 divisors (see below), whose sum is σ = 1049088. Its totient is φ = 163800.

The previous prime is 507961. The next prime is 507971. The reversal of 507966 is 669705.

It is an interprime number because it is at equal distance from previous prime (507961) and next prime (507971).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1180 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (65568).

2⁵⁰⁷⁹⁶⁶ is an apocalyptic number.

507966 is an abundant number, since it is smaller than the sum of its proper divisors (541122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

507966 is a wasteful number, since it uses less digits than its factorization.

507966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 507966 is about 712.7173352739. The cubic root of 507966 is about 79.7893416083.

The spelling of 507966 in words is "five hundred seven thousand, nine hundred sixty-six".