36567 has 12 divisors (see below), whose sum is σ = 56160. Its totient is φ = 22848.

The previous prime is 36563. The next prime is 36571. The reversal of 36567 is 76563.

36567 is a `hidden beast` number, since 3 + 656 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (36563) and next prime (36571).

It is not a de Polignac number, because 36567 - 2² = 36563 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁹ + 6² + 5 + 6² + 7⁵ .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36567.

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 36567.

It is not an unprimeable number, because it can be changed into a prime (36563) 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, 34 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2³⁶⁵⁶⁷ is an apocalyptic number.

36567 is a deficient number, since it is larger than the sum of its proper divisors (19593).

36567 is a wasteful number, since it uses less digits than its factorization.

36567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 36567 is about 191.2249983658. The cubic root of 36567 is about 33.1917214565.

It can be divided in two parts, 3656 and 7, that added together give a palindrome (3663).

The spelling of 36567 in words is "thirty-six thousand, five hundred sixty-seven".