52677 has 8 divisors (see below), whose sum is σ = 78080. Its totient is φ = 35100.

The previous prime is 52673. The next prime is 52691. The reversal of 52677 is 77625.

It is not a de Polignac number, because 52677 - 2² = 52673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1951 = 52677 / (5 + 2 + 6 + 7 + 7).

It is a Duffinian number.

52677 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 52677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (9760).

2⁵²⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

52677 is a deficient number, since it is larger than the sum of its proper divisors (25403).

52677 is a wasteful number, since it uses less digits than its factorization.

52677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1954 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 52677 is about 229.5147054112. The cubic root of 52677 is about 37.4863950647.

Subtracting from 52677 its sum of digits (27), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 52 and 677, that added together give a 6-th power (729 = 3⁶).

The spelling of 52677 in words is "fifty-two thousand, six hundred seventy-seven".