825895971 has 24 divisors (see below), whose sum is σ = 1260701520. Its totient is φ = 519561216.

The previous prime is 825895949. The next prime is 825895999. The reversal of 825895971 is 179598528.

825895971 is a `hidden beast` number, since 8 + 2 + 589 + 59 + 7 + 1 = 666.

It is not a de Polignac number, because 825895971 - 2¹⁷ = 825764899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825895271) 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 23 ways as a sum of consecutive naturals, for example, 34551 + ... + 53343.

It is an arithmetic number, because the mean of its divisors is an integer number (52529230).

Almost surely, 2^825895971 is an apocalyptic number.

825895971 is a deficient number, since it is larger than the sum of its proper divisors (434805549).

825895971 is a wasteful number, since it uses less digits than its factorization.

825895971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19075 (or 19072 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The square root of 825895971 is about 28738.4058534916. The cubic root of 825895971 is about 938.2281285244.

The spelling of 825895971 in words is "eight hundred twenty-five million, eight hundred ninety-five thousand, nine hundred seventy-one".