82033 has 4 divisors (see below), whose sum is σ = 93760. Its totient is φ = 70308.

The previous prime is 82031. The next prime is 82037. The reversal of 82033 is 33028.

82033 = 22² + 23² + ... + 63².

It is a happy number.

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 not a de Polignac number, because 82033 - 2¹ = 82031 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 81998 and 82016.

It is not an unprimeable number, because it can be changed into a prime (82031) 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, 5853 + ... + 5866.

It is an arithmetic number, because the mean of its divisors is an integer number (23440).

2⁸²⁰³³ is an apocalyptic number.

It is an amenable number.

82033 is a deficient number, since it is larger than the sum of its proper divisors (11727).

82033 is a wasteful number, since it uses less digits than its factorization.

82033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 82033 is about 286.4140359689. The cubic root of 82033 is about 43.4506420390.

The spelling of 82033 in words is "eighty-two thousand, thirty-three".