36555 has 8 divisors (see below), whose sum is σ = 58512. Its totient is φ = 19488.

The previous prime is 36551. The next prime is 36559. The reversal of 36555 is 55563.

It is an interprime number because it is at equal distance from previous prime (36551) and next prime (36559).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36555 - 2² = 36551 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36555.

It is not an unprimeable number, because it can be changed into a prime (36551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (7314).

2³⁶⁵⁵⁵ is an apocalyptic number.

36555 is a deficient number, since it is larger than the sum of its proper divisors (21957).

36555 is a wasteful number, since it uses less digits than its factorization.

36555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445.

The product of its digits is 2250, while the sum is 24.

The square root of 36555 is about 191.1936191404. The cubic root of 36555 is about 33.1880902750.

The spelling of 36555 in words is "thirty-six thousand, five hundred fifty-five".