405135 has 16 divisors (see below), whose sum is σ = 720480. Its totient is φ = 216000.

The previous prime is 405091. The next prime is 405143. The reversal of 405135 is 531504.

It is not a de Polignac number, because 405135 - 2⁶ = 405071 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

405135 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (45030).

2⁴⁰⁵¹³⁵ is an apocalyptic number.

405135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405135 is a deficient number, since it is larger than the sum of its proper divisors (315345).

405135 is a wasteful number, since it uses less digits than its factorization.

405135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 405135 is about 636.5021602477. The cubic root of 405135 is about 73.9945820236.

Adding to 405135 its reverse (531504), we get a palindrome (936639).

The spelling of 405135 in words is "four hundred five thousand, one hundred thirty-five".