386507 has 8 divisors (see below), whose sum is σ = 432432. Its totient is φ = 342400.

The previous prime is 386501. The next prime is 386521. The reversal of 386507 is 705683.

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 386507 - 2¹⁸ = 124363 is a prime.

It is a super-2 number, since 2×386507² = 298775322098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 386507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386507.

It is not an unprimeable number, because it can be changed into a prime (386501) 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, 23 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2³⁸⁶⁵⁰⁷ is an apocalyptic number.

386507 is a deficient number, since it is larger than the sum of its proper divisors (45925).

386507 is a wasteful number, since it uses less digits than its factorization.

386507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 386507 is about 621.6968714736. The cubic root of 386507 is about 72.8426585512.

The spelling of 386507 in words is "three hundred eighty-six thousand, five hundred seven".