156585 has 32 divisors (see below), whose sum is σ = 298368. Its totient is φ = 69120.

The previous prime is 156577. The next prime is 156589. The reversal of 156585 is 585651.

It is a happy number.

156585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 156585 - 2³ = 156577 is a prime.

It is a nialpdrome in base 11.

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 156585.

It is not an unprimeable number, because it can be changed into a prime (156589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2¹⁵⁶⁵⁸⁵ is an apocalyptic number.

156585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

156585 is a deficient number, since it is larger than the sum of its proper divisors (141783).

156585 is a wasteful number, since it uses less digits than its factorization.

156585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its digits is 6000, while the sum is 30.

The square root of 156585 is about 395.7082258432. The cubic root of 156585 is about 53.8993323406.

It can be divided in two parts, 156 and 585, that added together give a triangular number (741 = T₃₈).

The spelling of 156585 in words is "one hundred fifty-six thousand, five hundred eighty-five".