63135 has 24 divisors (see below), whose sum is σ = 116064. Its totient is φ = 31680.

The previous prime is 63131. The next prime is 63149. The reversal of 63135 is 53136.

63135 is a `hidden beast` number, since 631 + 35 = 666.

63135 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 63135 - 2² = 63131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁶³¹³⁵ is an apocalyptic number.

63135 is a deficient number, since it is larger than the sum of its proper divisors (52929).

63135 is a wasteful number, since it uses less digits than its factorization.

63135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 63135 is about 251.2667904837. The cubic root of 63135 is about 39.8189736390.

Subtracting from 63135 its reverse (53136), we obtain a palindrome (9999).

It can be divided in two parts, 631 and 35, that added together give a palindrome (666).

The spelling of 63135 in words is "sixty-three thousand, one hundred thirty-five".