285405 has 16 divisors (see below), whose sum is σ = 466560. Its totient is φ = 148928.

The previous prime is 285377. The next prime is 285421. The reversal of 285405 is 504582.

It is a cyclic number.

It is not a de Polignac number, because 285405 - 2¹³ = 277213 is a prime.

285405 is a modest number, since divided by 405 gives 285 as remainder.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285405.

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, 616 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2²⁸⁵⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

285405 is a deficient number, since it is larger than the sum of its proper divisors (181155).

285405 is a wasteful number, since it uses less digits than its factorization.

285405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 285405 is about 534.2330951935. The cubic root of 285405 is about 65.8396013189.

Adding to 285405 its reverse (504582), we get a palindrome (789987).

The spelling of 285405 in words is "two hundred eighty-five thousand, four hundred five".