52975 has 12 divisors (see below), whose sum is σ = 71176. Its totient is φ = 38880.

The previous prime is 52973. The next prime is 52981. The reversal of 52975 is 57925.

52975 is a nontrivial binomial coefficient, being equal to C(326, 2).

It is not a de Polignac number, because 52975 - 2¹ = 52973 is a prime.

It is a Duffinian number.

52975 is a lucky number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 406.

2⁵²⁹⁷⁵ is an apocalyptic number.

52975 is the 325-th triangular number and also the 163-rd hexagonal number.

52975 is the 109-th centered nonagonal number.

52975 is a deficient number, since it is larger than the sum of its proper divisors (18201).

52975 is a wasteful number, since it uses less digits than its factorization.

52975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 52975 is about 230.1629857297. The cubic root of 52975 is about 37.5569505037.

Subtracting 52975 from its reverse (57925), we obtain a triangular number (4950 = T₉₉).

The spelling of 52975 in words is "fifty-two thousand, nine hundred seventy-five".