36632 has 16 divisors (see below), whose sum is σ = 72600. Its totient is φ = 17280.

The previous prime is 36629. The next prime is 36637. The reversal of 36632 is 23663.

It is a happy number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

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 36632.

It is not an unprimeable number, because it can be changed into a prime (36637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 272.

2³⁶⁶³² is an apocalyptic number.

It is an amenable number.

36632 is a deficient number, since it is larger than the sum of its proper divisors (35968).

36632 is a wasteful number, since it uses less digits than its factorization.

36632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 36632 is about 191.3948797643. The cubic root of 36632 is about 33.2113765628.

The spelling of 36632 in words is "thirty-six thousand, six hundred thirty-two".