825791364 has 36 divisors (see below), whose sum is σ = 2088349900. Its totient is φ = 275140800.

The previous prime is 825791359. The next prime is 825791383. The reversal of 825791364 is 463197528.

825791364 is a `hidden beast` number, since 8 + 2 + 579 + 13 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458302464 + 367488900 = 21408^2 + 19170^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115362 + ... + 122310.

Almost surely, 2^825791364 is an apocalyptic number.

It is an amenable number.

825791364 is an abundant number, since it is smaller than the sum of its proper divisors (1262558536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825791364 is a wasteful number, since it uses less digits than its factorization.

825791364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10255 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 825791364 is about 28736.5858097304. The cubic root of 825791364 is about 938.1885152328.

The spelling of 825791364 in words is "eight hundred twenty-five million, seven hundred ninety-one thousand, three hundred sixty-four".