52735 has 8 divisors (see below), whose sum is σ = 64800. Its totient is φ = 41184.

The previous prime is 52733. The next prime is 52747. The reversal of 52735 is 53725.

52735 = T₁₈₆ + T₁₈₇ + T₁₈₈.

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

It is a cyclic number.

It is not a de Polignac number, because 52735 - 2¹ = 52733 is a prime.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁵²⁷³⁵ is an apocalyptic number.

52735 is the 188-th centered triangular number.

52735 is a deficient number, since it is larger than the sum of its proper divisors (12065).

52735 is a wasteful number, since it uses less digits than its factorization.

52735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its digits is 1050, while the sum is 22.

The square root of 52735 is about 229.6410242095. The cubic root of 52735 is about 37.5001481476.

Subtracting 52735 from its reverse (53725), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 52 and 735, that added together give a palindrome (787).

The spelling of 52735 in words is "fifty-two thousand, seven hundred thirty-five".