663135 has 16 divisors (see below), whose sum is σ = 1157760. Its totient is φ = 321440.

The previous prime is 663127. The next prime is 663149. The reversal of 663135 is 531366.

663135 = 163² + 164² + ... + 184².

It is not a de Polignac number, because 663135 - 2³ = 663127 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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, 1845 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (72360).

2⁶⁶³¹³⁵ is an apocalyptic number.

663135 is a deficient number, since it is larger than the sum of its proper divisors (494625).

663135 is a wasteful number, since it uses less digits than its factorization.

663135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038.

The product of its digits is 1620, while the sum is 24.

The square root of 663135 is about 814.3310137776. The cubic root of 663135 is about 87.2035135217.

Subtracting from 663135 its reverse (531366), we obtain a square (131769 = 363²).

It can be divided in two parts, 6631 and 35, that added together give a palindrome (6666).

The spelling of 663135 in words is "six hundred sixty-three thousand, one hundred thirty-five".