825661845 has 24 divisors (see below), whose sum is σ = 1469829816. Its totient is φ = 428450688.

The previous prime is 825661841. The next prime is 825661847. The reversal of 825661845 is 548166528.

825661845 is a `hidden beast` number, since 8 + 2 + 566 + 1 + 84 + 5 = 666.

825661845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 215473041 + 610188804 = 14679^2 + 24702^2 .

It is not a de Polignac number, because 825661845 - 2² = 825661841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 825661845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825661841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246282 + ... + 249611.

It is an arithmetic number, because the mean of its divisors is an integer number (61242909).

Almost surely, 2^825661845 is an apocalyptic number.

It is an amenable number.

825661845 is a deficient number, since it is larger than the sum of its proper divisors (644167971).

825661845 is a wasteful number, since it uses less digits than its factorization.

825661845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495941 (or 495938 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 825661845 is about 28734.3321655472. The cubic root of 825661845 is about 938.1394634597.

The spelling of 825661845 in words is "eight hundred twenty-five million, six hundred sixty-one thousand, eight hundred forty-five".