73633 has 8 divisors (see below), whose sum is σ = 85952. Its totient is φ = 61776.

The previous prime is 73613. The next prime is 73637. The reversal of 73633 is 33637.

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

It is a cyclic number.

It is not a de Polignac number, because 73633 - 2⁹ = 73121 is a prime.

It is a Duffinian number.

73633 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73637) 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, 391 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (10744).

2⁷³⁶³³ is an apocalyptic number.

73633 is the 157-th octagonal number.

It is an amenable number.

73633 is a deficient number, since it is larger than the sum of its proper divisors (12319).

73633 is a wasteful number, since it uses less digits than its factorization.

73633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its digits is 1134, while the sum is 22.

The square root of 73633 is about 271.3540123160. The cubic root of 73633 is about 41.9138445525.

The spelling of 73633 in words is "seventy-three thousand, six hundred thirty-three".