36663 has 12 divisors (see below), whose sum is σ = 54264. Its totient is φ = 22000.

The previous prime is 36653. The next prime is 36671.

36663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36663 - 2⁶ = 36599 is a prime.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 313 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (4522).

2³⁶⁶⁶³ is an apocalyptic number.

36663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36663 is a deficient number, since it is larger than the sum of its proper divisors (17601).

36663 is a wasteful number, since it uses less digits than its factorization.

36663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 36663 is about 191.4758470408. The cubic root of 36663 is about 33.2207423485.

It can be divided in two parts, 3 and 6663, that added together give a palindrome (6666).

The spelling of 36663 in words is "thirty-six thousand, six hundred sixty-three".