83633 has 4 divisors (see below), whose sum is σ = 91248. Its totient is φ = 76020.

The previous prime is 83621. The next prime is 83639. The reversal of 83633 is 33638.

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 a cyclic number.

It is not a de Polignac number, because 83633 - 2⁴ = 83617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83599 and 83608.

It is not an unprimeable number, because it can be changed into a prime (83639) 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, 3791 + ... + 3812.

It is an arithmetic number, because the mean of its divisors is an integer number (22812).

2⁸³⁶³³ is an apocalyptic number.

It is an amenable number.

83633 is a deficient number, since it is larger than the sum of its proper divisors (7615).

83633 is a wasteful number, since it uses less digits than its factorization.

83633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614.

The product of its digits is 1296, while the sum is 23.

The square root of 83633 is about 289.1937067088. The cubic root of 83633 is about 43.7313171930.

The spelling of 83633 in words is "eighty-three thousand, six hundred thirty-three".