825644167 has 2 divisors, whose sum is σ = 825644168. Its totient is φ = 825644166.

The previous prime is 825644059. The next prime is 825644203. The reversal of 825644167 is 761446528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825644167 - 2¹⁹ = 825119879 is a prime.

It is a super-3 number, since 3×825644167³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825644767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412822083 + 412822084.

It is an arithmetic number, because the mean of its divisors is an integer number (412822084).

Almost surely, 2^825644167 is an apocalyptic number.

825644167 is a deficient number, since it is larger than the sum of its proper divisors (1).

825644167 is an equidigital number, since it uses as much as digits as its factorization.

825644167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 322560, while the sum is 43.

The square root of 825644167 is about 28734.0245527841. The cubic root of 825644167 is about 938.1327680037.

The spelling of 825644167 in words is "eight hundred twenty-five million, six hundred forty-four thousand, one hundred sixty-seven".