52767 has 24 divisors (see below), whose sum is σ = 91728. Its totient is φ = 28800.

The previous prime is 52757. The next prime is 52769. The reversal of 52767 is 76725.

52767 = 18³ + 19³ + ... + 23³.

It is not a de Polignac number, because 52767 - 2⁷ = 52639 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁵²⁷⁶⁷ is an apocalyptic number.

52767 is a deficient number, since it is larger than the sum of its proper divisors (38961).

52767 is a wasteful number, since it uses less digits than its factorization.

52767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

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

The square root of 52767 is about 229.7106876051. The cubic root of 52767 is about 37.5077317391.

It can be divided in two parts, 5 and 2767, that added together give a palindrome (2772).

The spelling of 52767 in words is "fifty-two thousand, seven hundred sixty-seven".