368667 has 24 divisors (see below), whose sum is σ = 602784. Its totient is φ = 215424.

The previous prime is 368653. The next prime is 368689. The reversal of 368667 is 766863.

It is a happy number.

It is not a de Polignac number, because 368667 - 2⁴ = 368651 is a prime.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368667.

It is not an unprimeable number, because it can be changed into a prime (368647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (25116).

2³⁶⁸⁶⁶⁷ is an apocalyptic number.

368667 is a deficient number, since it is larger than the sum of its proper divisors (234117).

368667 is a wasteful number, since it uses less digits than its factorization.

368667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 176 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 368667 is about 607.1795451100. The cubic root of 368667 is about 71.7042264509.

It can be divided in two parts, 368 and 667, that added together give a triangular number (1035 = T₄₅).

The spelling of 368667 in words is "three hundred sixty-eight thousand, six hundred sixty-seven".