52837 has 2 divisors, whose sum is σ = 52838. Its totient is φ = 52836.

The previous prime is 52817. The next prime is 52859. The reversal of 52837 is 73825.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27556 + 25281 = 166^2 + 159^2 .

It is a cyclic number.

It is not a de Polignac number, because 52837 - 2⁷ = 52709 is a prime.

It is a d-powerful number, because it can be written as 5⁵ + 2⁷ + 8⁵ + 3² + 7⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52837.

It is not a weakly prime, because it can be changed into another prime (52807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26418 + 26419.

It is an arithmetic number, because the mean of its divisors is an integer number (26419).

2⁵²⁸³⁷ is an apocalyptic number.

It is an amenable number.

52837 is a deficient number, since it is larger than the sum of its proper divisors (1).

52837 is an equidigital number, since it uses as much as digits as its factorization.

52837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 52837 is about 229.8630026777. The cubic root of 52837 is about 37.5243101629.

It can be divided in two parts, 528 and 37, that added together give a palindrome (565).

The spelling of 52837 in words is "fifty-two thousand, eight hundred thirty-seven".