507975 has 24 divisors (see below), whose sum is σ = 906192. Its totient is φ = 249600.

The previous prime is 507971. The next prime is 507979. The reversal of 507975 is 579705.

It is an interprime number because it is at equal distance from previous prime (507971) and next prime (507979).

It is not a de Polignac number, because 507975 - 2² = 507971 is a prime.

507975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507971) 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, 715 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (37758).

2⁵⁰⁷⁹⁷⁵ is an apocalyptic number.

507975 is a deficient number, since it is larger than the sum of its proper divisors (398217).

507975 is a wasteful number, since it uses less digits than its factorization.

507975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 33.

The square root of 507975 is about 712.7236491095. The cubic root of 507975 is about 79.7898128339.

The spelling of 507975 in words is "five hundred seven thousand, nine hundred seventy-five".