52745 has 16 divisors (see below), whose sum is σ = 79488. Its totient is φ = 32640.

The previous prime is 52733. The next prime is 52747. The reversal of 52745 is 54725.

It is not a de Polignac number, because 52745 - 2⁸ = 52489 is a prime.

It is a d-powerful number, because it can be written as 5³ + 2¹⁵ + 7³ + 4⁷ + 5⁵ .

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

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52745.

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

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 15 ways as a sum of consecutive naturals, for example, 317 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (4968).

2⁵²⁷⁴⁵ is an apocalyptic number.

52745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52745 is a deficient number, since it is larger than the sum of its proper divisors (26743).

52745 is a wasteful number, since it uses less digits than its factorization.

52745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its digits is 1400, while the sum is 23.

The square root of 52745 is about 229.6627962906. The cubic root of 52745 is about 37.5025183494.

Adding to 52745 its product of digits (1400), we get a palindrome (54145).

It can be divided in two parts, 52 and 745, that added together give a palindrome (797).

The spelling of 52745 in words is "fifty-two thousand, seven hundred forty-five".