162405 has 20 divisors (see below), whose sum is σ = 291852. Its totient is φ = 86400.

The previous prime is 162391. The next prime is 162413. The reversal of 162405 is 504261.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 39204 = 351^2 + 198^2 .

It is not a de Polignac number, because 162405 - 2⁴ = 162389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205 + ... + 605.

2¹⁶²⁴⁰⁵ is an apocalyptic number.

162405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

162405 is a deficient number, since it is larger than the sum of its proper divisors (129447).

162405 is an equidigital number, since it uses as much as digits as its factorization.

162405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 162405 is about 402.9950371903. The cubic root of 162405 is about 54.5590079956.

Subtracting from 162405 its product of nonzero digits (240), we obtain a triangular number (162165 = T₅₆₉).

Adding to 162405 its reverse (504261), we get a palindrome (666666).

The spelling of 162405 in words is "one hundred sixty-two thousand, four hundred five".