827379201 has 16 divisors (see below), whose sum is σ = 1205786880. Its totient is φ = 500472720.

The previous prime is 827379169. The next prime is 827379209. The reversal of 827379201 is 102973728.

It is not a de Polignac number, because 827379201 - 2⁵ = 827379169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827379201.

It is not an unprimeable number, because it can be changed into a prime (827379209) 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 15 ways as a sum of consecutive naturals, for example, 6711 + ... + 41228.

It is an arithmetic number, because the mean of its divisors is an integer number (75361680).

Almost surely, 2^827379201 is an apocalyptic number.

It is an amenable number.

827379201 is a deficient number, since it is larger than the sum of its proper divisors (378407679).

827379201 is a wasteful number, since it uses less digits than its factorization.

827379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48476.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 827379201 is about 28764.1999888751. The cubic root of 827379201 is about 938.7894485619.

The spelling of 827379201 in words is "eight hundred twenty-seven million, three hundred seventy-nine thousand, two hundred one".