52776 has 24 divisors (see below), whose sum is σ = 143130. Its totient is φ = 17568.

The previous prime is 52769. The next prime is 52783. The reversal of 52776 is 67725.

52776 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (52769) and next prime (52783).

It can be written as a sum of positive squares in only one way, i.e., 30276 + 22500 = 174^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

52776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295 + ... + 438.

2⁵²⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

52776 is an abundant number, since it is smaller than the sum of its proper divisors (90354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52776 is a wasteful number, since it uses less digits than its factorization.

52776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

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

The square root of 52776 is about 229.7302766289. The cubic root of 52776 is about 37.5098640718.

It can be divided in two parts, 52 and 776, that added together give a palindrome (828).

The spelling of 52776 in words is "fifty-two thousand, seven hundred seventy-six".