827970 has 64 divisors (see below), whose sum is σ = 2346624. Its totient is φ = 184320.

The previous prime is 827969. The next prime is 827987. The reversal of 827970 is 79728.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4194 + ... + 4386.

It is an arithmetic number, because the mean of its divisors is an integer number (36666).

2⁸²⁷⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173312).

827970 is an abundant number, since it is smaller than the sum of its proper divisors (1518654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827970 is a wasteful number, since it uses less digits than its factorization.

827970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 827970 is about 909.9285686250. The cubic root of 827970 is about 93.9012846292.

The spelling of 827970 in words is "eight hundred twenty-seven thousand, nine hundred seventy".