167585 has 12 divisors (see below), whose sum is σ = 221844. Its totient is φ = 121440.

The previous prime is 167543. The next prime is 167593. The reversal of 167585 is 585761.

It can be written as a sum of positive squares in 2 ways, for example, as 43681 + 123904 = 209^2 + 352^2 .

It is not a de Polignac number, because 167585 - 2⁶ = 167521 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (18487).

2¹⁶⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

167585 is a deficient number, since it is larger than the sum of its proper divisors (54259).

167585 is a wasteful number, since it uses less digits than its factorization.

167585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 167585 is about 409.3714694504. The cubic root of 167585 is about 55.1330114007.

The spelling of 167585 in words is "one hundred sixty-seven thousand, five hundred eighty-five".