827985 has 24 divisors (see below), whose sum is σ = 1414656. Its totient is φ = 413440.

The previous prime is 827969. The next prime is 827987. The reversal of 827985 is 589728.

It is not a de Polignac number, because 827985 - 2⁴ = 827969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827987) 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, 4240 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (58944).

2⁸²⁷⁹⁸⁵ is an apocalyptic number.

827985 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

827985 is a deficient number, since it is larger than the sum of its proper divisors (586671).

827985 is a wasteful number, since it uses less digits than its factorization.

827985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 827985 is about 909.9368109929. The cubic root of 827985 is about 93.9018516830.

The spelling of 827985 in words is "eight hundred twenty-seven thousand, nine hundred eighty-five".