52777 has 4 divisors (see below), whose sum is σ = 53460. Its totient is φ = 52096.

The previous prime is 52769. The next prime is 52783. The reversal of 52777 is 77725.

It is a happy number.

52777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 32041 = 144^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 52777 - 2³ = 52769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52727) 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, 208 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2⁵²⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

52777 is a deficient number, since it is larger than the sum of its proper divisors (683).

52777 is an equidigital number, since it uses as much as digits as its factorization.

52777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682.

The product of its digits is 3430, while the sum is 28.

The square root of 52777 is about 229.7324530840. The cubic root of 52777 is about 37.5101009827.

It can be divided in two parts, 52 and 777, that multiplied together give a palindrome (40404).

The spelling of 52777 in words is "fifty-two thousand, seven hundred seventy-seven".