365967 has 24 divisors (see below), whose sum is σ = 624416. Its totient is φ = 202176.

The previous prime is 365941. The next prime is 365969. The reversal of 365967 is 769563.

It is a happy number.

It is not a de Polignac number, because 365967 - 2⁶ = 365903 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 13.

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 365967.

It is not an unprimeable number, because it can be changed into a prime (365969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2253 + ... + 2409.

2³⁶⁵⁹⁶⁷ is an apocalyptic number.

365967 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

365967 is a deficient number, since it is larger than the sum of its proper divisors (258449).

365967 is a wasteful number, since it uses less digits than its factorization.

365967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 365967 is about 604.9520642167. The cubic root of 365967 is about 71.5287510500.

The spelling of 365967 in words is "three hundred sixty-five thousand, nine hundred sixty-seven".