52947 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 33696.

The previous prime is 52937. The next prime is 52951. The reversal of 52947 is 74925.

It is not a de Polignac number, because 52947 - 2⁶ = 52883 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52947.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52947.

It is not an unprimeable number, because it can be changed into a prime (52937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

52947 is a Friedman number, since it can be written as 4^9/2-5^7, using all its digits and the basic arithmetic operations.

2⁵²⁹⁴⁷ is an apocalyptic number.

52947 is a deficient number, since it is larger than the sum of its proper divisors (29133).

52947 is a wasteful number, since it uses less digits than its factorization.

52947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

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

The square root of 52947 is about 230.1021512285. The cubic root of 52947 is about 37.5503324137.

It can be divided in two parts, 529 and 47, that added together give a square (576 = 24²).

The spelling of 52947 in words is "fifty-two thousand, nine hundred forty-seven".