827872007 has 2 divisors, whose sum is σ = 827872008. Its totient is φ = 827872006.

The previous prime is 827871983. The next prime is 827872027. The reversal of 827872007 is 700278728.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827872007 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827872027) 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 as a sum of consecutive naturals, namely, 413936003 + 413936004.

It is an arithmetic number, because the mean of its divisors is an integer number (413936004).

Almost surely, 2^827872007 is an apocalyptic number.

827872007 is a deficient number, since it is larger than the sum of its proper divisors (1).

827872007 is an equidigital number, since it uses as much as digits as its factorization.

827872007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 827872007 is about 28772.7650218049. The cubic root of 827872007 is about 938.9757997334.

The spelling of 827872007 in words is "eight hundred twenty-seven million, eight hundred seventy-two thousand, seven".