167364 has 18 divisors (see below), whose sum is σ = 423150. Its totient is φ = 55776.

The previous prime is 167341. The next prime is 167381. The reversal of 167364 is 463761.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 900 = 408^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

167364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2289 + ... + 2360.

2¹⁶⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

167364 is an abundant number, since it is smaller than the sum of its proper divisors (255786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167364 is a wasteful number, since it uses less digits than its factorization.

167364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4654 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 167364 is about 409.1014544095. The cubic root of 167364 is about 55.1087654848.

The spelling of 167364 in words is "one hundred sixty-seven thousand, three hundred sixty-four".