167385 has 8 divisors (see below), whose sum is σ = 267840. Its totient is φ = 89264.

The previous prime is 167381. The next prime is 167393. The reversal of 167385 is 583761.

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 167385 - 2² = 167381 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (167381) 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, 5565 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2¹⁶⁷³⁸⁵ is an apocalyptic number.

167385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

167385 is a deficient number, since it is larger than the sum of its proper divisors (100455).

167385 is a wasteful number, since it uses less digits than its factorization.

167385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167.

The product of its digits is 5040, while the sum is 30.

The square root of 167385 is about 409.1271196095. The cubic root of 167385 is about 55.1110703128. Note that the first 3 decimals are identical.

The spelling of 167385 in words is "one hundred sixty-seven thousand, three hundred eighty-five".