364167 has 12 divisors (see below), whose sum is σ = 538824. Its totient is φ = 236880.

The previous prime is 364141. The next prime is 364171. The reversal of 364167 is 761463.

It is not a de Polignac number, because 364167 - 2⁶ = 364103 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 364167.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364167.

It is not an unprimeable number, because it can be changed into a prime (364127) 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, 84 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (44902).

2³⁶⁴¹⁶⁷ is an apocalyptic number.

364167 is a deficient number, since it is larger than the sum of its proper divisors (174657).

364167 is a wasteful number, since it uses less digits than its factorization.

364167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

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

The square root of 364167 is about 603.4625091917. The cubic root of 364167 is about 71.4112874371.

The spelling of 364167 in words is "three hundred sixty-four thousand, one hundred sixty-seven".