53535 has 16 divisors (see below), whose sum is σ = 88704. Its totient is φ = 27552.

The previous prime is 53527. The next prime is 53549.

53535 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53535 - 2³ = 53527 is a prime.

It is a nude number because it is divisible by every one of its digits.

53535 is an undulating number in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁵³⁵³⁵ is an apocalyptic number.

53535 is a deficient number, since it is larger than the sum of its proper divisors (35169).

53535 is a wasteful number, since it uses less digits than its factorization.

53535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 1125, while the sum is 21.

The square root of 53535 is about 231.3763168520. The cubic root of 53535 is about 37.6888253813.

The spelling of 53535 in words is "fifty-three thousand, five hundred thirty-five".