163785 has 16 divisors (see below), whose sum is σ = 267840. Its totient is φ = 85440.

The previous prime is 163781. The next prime is 163789. The reversal of 163785 is 587361.

It is an interprime number because it is at equal distance from previous prime (163781) and next prime (163789).

It is not a de Polignac number, because 163785 - 2² = 163781 is a prime.

It is an Ulam number.

It is a Curzon number.

163785 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2¹⁶³⁷⁸⁵ is an apocalyptic number.

163785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163785 is a deficient number, since it is larger than the sum of its proper divisors (104055).

163785 is a wasteful number, since it uses less digits than its factorization.

163785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its digits is 5040, while the sum is 30.

The square root of 163785 is about 404.7035952398. The cubic root of 163785 is about 54.7131066476.

The spelling of 163785 in words is "one hundred sixty-three thousand, seven hundred eighty-five".