52935 has 8 divisors (see below), whose sum is σ = 84720. Its totient is φ = 28224.

The previous prime is 52919. The next prime is 52937. The reversal of 52935 is 53925.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 52935 - 2⁴ = 52919 is a prime.

It is a super-2 number, since 2×52935² = 5604228450, which contains 22 as substring.

52935 is a lucky number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1750 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (10590).

2⁵²⁹³⁵ is an apocalyptic number.

52935 is a deficient number, since it is larger than the sum of its proper divisors (31785).

52935 is a wasteful number, since it uses less digits than its factorization.

52935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537.

The product of its digits is 1350, while the sum is 24.

The square root of 52935 is about 230.0760743754. The cubic root of 52935 is about 37.5474953752.

Adding to 52935 its product of digits (1350), we get a triangular number (54285 = T₃₂₉).

Subtracting 52935 from its reverse (53925), we obtain a triangular number (990 = T₄₄).

The spelling of 52935 in words is "fifty-two thousand, nine hundred thirty-five".