52877 has 12 divisors (see below), whose sum is σ = 63840. Its totient is φ = 43560.

The previous prime is 52861. The next prime is 52879. The reversal of 52877 is 77825.

It is not a de Polignac number, because 52877 - 2⁴ = 52861 is a prime.

It is a d-powerful number, because it can be written as 5⁵ + 2⁷ + 8⁵ + 7² + 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 52877.

It is not an unprimeable number, because it can be changed into a prime (52879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2288 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵²⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

52877 is a deficient number, since it is larger than the sum of its proper divisors (10963).

52877 is a wasteful number, since it uses less digits than its factorization.

52877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 52877 is about 229.9499945640. The cubic root of 52877 is about 37.5337769747.

It can be divided in two parts, 52 and 877, that added together give a palindrome (929).

The spelling of 52877 in words is "fifty-two thousand, eight hundred seventy-seven".