52807 has 2 divisors, whose sum is σ = 52808. Its totient is φ = 52806.

The previous prime is 52783. The next prime is 52813. The reversal of 52807 is 70825.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52807 is a prime.

52807 is a lucky number.

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 52807.

It is not a weakly prime, because it can be changed into another prime (52817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26403 + 26404.

It is an arithmetic number, because the mean of its divisors is an integer number (26404).

2⁵²⁸⁰⁷ is an apocalyptic number.

52807 is a deficient number, since it is larger than the sum of its proper divisors (1).

52807 is an equidigital number, since it uses as much as digits as its factorization.

52807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 52807 is about 229.7977371516. The cubic root of 52807 is about 37.5172069182.

The spelling of 52807 in words is "fifty-two thousand, eight hundred seven".