36645 has 16 divisors (see below), whose sum is σ = 67200. Its totient is φ = 16704.

The previous prime is 36643. The next prime is 36653. The reversal of 36645 is 54663.

36645 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36645 - 2¹ = 36643 is a prime.

It is a Curzon number.

It is a plaindrome 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 36645.

It is not an unprimeable number, because it can be changed into a prime (36643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2³⁶⁶⁴⁵ is an apocalyptic number.

36645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36645 is a deficient number, since it is larger than the sum of its proper divisors (30555).

36645 is a wasteful number, since it uses less digits than its factorization.

36645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

The product of its digits is 2160, while the sum is 24.

The square root of 36645 is about 191.4288379529. The cubic root of 36645 is about 33.2153047934.

It can be divided in two parts, 36 and 645, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 36645 in words is "thirty-six thousand, six hundred forty-five".