53835 has 16 divisors (see below), whose sum is σ = 89376. Its totient is φ = 27648.

The previous prime is 53831. The next prime is 53849.

53835 is nontrivially palindromic in base 2 and base 10.

53835 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53835 - 2² = 53831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53831) 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, 507 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁵³⁸³⁵ is an apocalyptic number.

53835 is a deficient number, since it is larger than the sum of its proper divisors (35541).

53835 is a wasteful number, since it uses less digits than its factorization.

53835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its digits is 1800, while the sum is 24.

The square root of 53835 is about 232.0237056854. The cubic root of 53835 is about 37.7590946320.

It can be divided in two parts, 53 and 835, that added together give a palindrome (888).

The spelling of 53835 in words is "fifty-three thousand, eight hundred thirty-five".