827999 has 8 divisors (see below), whose sum is σ = 860160. Its totient is φ = 796536.

The previous prime is 827989. The next prime is 828007. The reversal of 827999 is 999728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827999 - 2¹² = 823903 is a prime.

It is a Duffinian number.

827999 is a modest number, since divided by 999 gives 827 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3602 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (107520).

2⁸²⁷⁹⁹⁹ is an apocalyptic number.

827999 is a deficient number, since it is larger than the sum of its proper divisors (32161).

827999 is a wasteful number, since it uses less digits than its factorization.

827999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its digits is 81648, while the sum is 44.

The square root of 827999 is about 909.9445038023. The cubic root of 827999 is about 93.9023809271.

The spelling of 827999 in words is "eight hundred twenty-seven thousand, nine hundred ninety-nine".