185385 has 16 divisors (see below), whose sum is σ = 314496. Its totient is φ = 92928.

The previous prime is 185371. The next prime is 185401. The reversal of 185385 is 583581.

It is a happy number.

It is not a de Polignac number, because 185385 - 2⁴ = 185369 is a prime.

It is an Ulam 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, 109 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2¹⁸⁵³⁸⁵ is an apocalyptic number.

185385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

185385 is a deficient number, since it is larger than the sum of its proper divisors (129111).

185385 is a wasteful number, since it uses less digits than its factorization.

185385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752.

The product of its digits is 4800, while the sum is 30.

The square root of 185385 is about 430.5635841545. The cubic root of 185385 is about 57.0196915652.

The spelling of 185385 in words is "one hundred eighty-five thousand, three hundred eighty-five".