807827149 has 2 divisors, whose sum is σ = 807827150. Its totient is φ = 807827148.

The previous prime is 807827147. The next prime is 807827173. The reversal of 807827149 is 941728708.

807827149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 600985225 + 206841924 = 24515^2 + 14382^2 .

It is a cyclic number.

It is not a de Polignac number, because 807827149 - 2¹ = 807827147 is a prime.

It is a super-2 number, since 2×807827149² = 1305169405322936402, which contains 22 as substring.

Together with 807827147, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 807827099 and 807827108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (807827143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403913574 + 403913575.

It is an arithmetic number, because the mean of its divisors is an integer number (403913575).

Almost surely, 2^807827149 is an apocalyptic number.

It is an amenable number.

807827149 is a deficient number, since it is larger than the sum of its proper divisors (1).

807827149 is an equidigital number, since it uses as much as digits as its factorization.

807827149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 807827149 is about 28422.3002060002. The cubic root of 807827149 is about 931.3354802606.

The spelling of 807827149 in words is "eight hundred seven million, eight hundred twenty-seven thousand, one hundred forty-nine".