845985 has 24 divisors (see below), whose sum is σ = 1575936. Its totient is φ = 386400.

The previous prime is 845983. The next prime is 845987. The reversal of 845985 is 589548.

845985 = 40² + 41² + ... + 137².

It is an interprime number because it is at equal distance from previous prime (845983) and next prime (845987).

It is not a de Polignac number, because 845985 - 2¹ = 845983 is a prime.

845985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 845985.

It is not an unprimeable number, because it can be changed into a prime (845981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (65664).

2⁸⁴⁵⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

845985 is a deficient number, since it is larger than the sum of its proper divisors (729951).

845985 is a wasteful number, since it uses less digits than its factorization.

845985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1166 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 845985 is about 919.7744288683. The cubic root of 845985 is about 94.5774399523.

It can be divided in two parts, 845 and 985, that added together give a triangular number (1830 = T₆₀).

The spelling of 845985 in words is "eight hundred forty-five thousand, nine hundred eighty-five".