167985 has 12 divisors (see below), whose sum is σ = 291252. Its totient is φ = 89568.

The previous prime is 167971. The next prime is 167987. The reversal of 167985 is 589761.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 91809 = 276^2 + 303^2 .

It is not a de Polignac number, because 167985 - 2⁵ = 167953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1822 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (24271).

2¹⁶⁷⁹⁸⁵ is an apocalyptic number.

167985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

167985 is a deficient number, since it is larger than the sum of its proper divisors (123267).

167985 is a wasteful number, since it uses less digits than its factorization.

167985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3741 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 167985 is about 409.8597321036. The cubic root of 167985 is about 55.1768412620.

It can be divided in two parts, 1679 and 85, that added together give a square (1764 = 42²).

The spelling of 167985 in words is "one hundred sixty-seven thousand, nine hundred eighty-five".