52749 has 6 divisors (see below), whose sum is σ = 76206. Its totient is φ = 35160.

The previous prime is 52747. The next prime is 52757. The reversal of 52749 is 94725.

52749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 8649 = 210^2 + 93^2 .

It is not a de Polignac number, because 52749 - 2¹ = 52747 is a prime.

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

It is a Curzon number.

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 52749.

It is not an unprimeable number, because it can be changed into a prime (52747) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2922 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (12701).

2⁵²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

52749 is a deficient number, since it is larger than the sum of its proper divisors (23457).

52749 is a wasteful number, since it uses less digits than its factorization.

52749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5864 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 52749 is about 229.6715045451. The cubic root of 52749 is about 37.5034663462.

It can be divided in two parts, 527 and 49, that added together give a square (576 = 24²).

The spelling of 52749 in words is "fifty-two thousand, seven hundred forty-nine".