36633 has 4 divisors (see below), whose sum is σ = 48848. Its totient is φ = 24420.

The previous prime is 36629. The next prime is 36637. The reversal of 36633 is 33663.

36633 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 a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (36629) and next prime (36637).

It is not a de Polignac number, because 36633 - 2² = 36629 is a prime.

It is a D-number.

It is a Duffinian number.

36633 is a lucky number.

It is a plaindrome in base 13.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6103 + ... + 6108.

It is an arithmetic number, because the mean of its divisors is an integer number (12212).

2³⁶⁶³³ is an apocalyptic number.

It is an amenable number.

36633 is a deficient number, since it is larger than the sum of its proper divisors (12215).

36633 is a wasteful number, since it uses less digits than its factorization.

36633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214.

The product of its digits is 972, while the sum is 21.

The square root of 36633 is about 191.3974921466. The cubic root of 36633 is about 33.2116787674.

The spelling of 36633 in words is "thirty-six thousand, six hundred thirty-three".