52083 has 10 divisors (see below), whose sum is σ = 77924. Its totient is φ = 34668.

The previous prime is 52081. The next prime is 52103. The reversal of 52083 is 38025.

52083 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 52083 - 2¹ = 52081 is a prime.

It is an Ulam number.

It is a Duffinian number.

52083 is an undulating number in base 5.

52083 is a lucky number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52083.

It is not an unprimeable number, because it can be changed into a prime (52081) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 241 + ... + 402.

2⁵²⁰⁸³ is an apocalyptic number.

52083 is a deficient number, since it is larger than the sum of its proper divisors (25841).

52083 is an equidigital number, since it uses as much as digits as its factorization.

52083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52083 is about 228.2170019959. The cubic root of 52083 is about 37.3449598851.

The spelling of 52083 in words is "fifty-two thousand, eighty-three".