827397207 has 64 divisors (see below), whose sum is σ = 1516032000. Its totient is φ = 434294784.

The previous prime is 827397167. The next prime is 827397217. The reversal of 827397207 is 702793728.

It is not a de Polignac number, because 827397207 - 2⁶ = 827397143 is a prime.

It is a super-2 number, since 2×827397207² = 1369172276302801698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827397217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586519 + ... + 587927.

It is an arithmetic number, because the mean of its divisors is an integer number (23688000).

Almost surely, 2^827397207 is an apocalyptic number.

827397207 is a deficient number, since it is larger than the sum of its proper divisors (688634793).

827397207 is a wasteful number, since it uses less digits than its factorization.

827397207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 827397207 is about 28764.5129804070. The cubic root of 827397207 is about 938.7962587082.

The spelling of 827397207 in words is "eight hundred twenty-seven million, three hundred ninety-seven thousand, two hundred seven".