667585 has 16 divisors (see below), whose sum is σ = 852480. Its totient is φ = 501120.

The previous prime is 667577. The next prime is 667631. The reversal of 667585 is 585766.

667585 = 76² + 77² + ... + 134².

667585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 667585 - 2³ = 667577 is a prime.

Its product of digits (50400) is a multiple of the sum of its prime divisors (168).

667585 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9109 + ... + 9181.

It is an arithmetic number, because the mean of its divisors is an integer number (53280).

2⁶⁶⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

667585 is a deficient number, since it is larger than the sum of its proper divisors (184895).

667585 is a wasteful number, since it uses less digits than its factorization.

667585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its digits is 50400, while the sum is 37.

The square root of 667585 is about 817.0587494177. The cubic root of 667585 is about 87.3981399727.

The spelling of 667585 in words is "six hundred sixty-seven thousand, five hundred eighty-five".