52084 has 12 divisors (see below), whose sum is σ = 94500. Its totient is φ = 25088.

The previous prime is 52081. The next prime is 52103. The reversal of 52084 is 48025.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 22500 = 172^2 + 150^2 .

It is a nialpdrome in base 16.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 109 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2⁵²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

52084 is a deficient number, since it is larger than the sum of its proper divisors (42416).

52084 is a wasteful number, since it uses less digits than its factorization.

52084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 52084 is about 228.2191928826. The cubic root of 52084 is about 37.3451988928.

The spelling of 52084 in words is "fifty-two thousand, eighty-four".