827121207 has 16 divisors (see below), whose sum is σ = 1208350080. Its totient is φ = 499092000.

The previous prime is 827121187. The next prime is 827121221. The reversal of 827121207 is 702121728.

It is a happy number.

It is not a de Polignac number, because 827121207 - 2¹¹ = 827119159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827121707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47169 + ... + 62282.

It is an arithmetic number, because the mean of its divisors is an integer number (75521880).

Almost surely, 2^827121207 is an apocalyptic number.

827121207 is a deficient number, since it is larger than the sum of its proper divisors (381228873).

827121207 is a wasteful number, since it uses less digits than its factorization.

827121207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109694.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 827121207 is about 28759.7150020650. The cubic root of 827121207 is about 938.6918604090.

The spelling of 827121207 in words is "eight hundred twenty-seven million, one hundred twenty-one thousand, two hundred seven".