52033 has 4 divisors (see below), whose sum is σ = 52948. Its totient is φ = 51120.

The previous prime is 52027. The next prime is 52051. The reversal of 52033 is 33025.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 49729 = 48^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 52033 - 2⁹ = 51521 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52433) 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, 366 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (13237).

2⁵²⁰³³ is an apocalyptic number.

It is an amenable number.

52033 is a deficient number, since it is larger than the sum of its proper divisors (915).

52033 is an equidigital number, since it uses as much as digits as its factorization.

52033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 52033 is about 228.1074308303. The cubic root of 52033 is about 37.3330055952. Note that the first 3 decimals are identical.

Adding to 52033 its reverse (33025), we get a palindrome (85058).

The spelling of 52033 in words is "fifty-two thousand, thirty-three".