825664617 has 16 divisors (see below), whose sum is σ = 1223649280. Its totient is φ = 550244016.

The previous prime is 825664607. The next prime is 825664621. The reversal of 825664617 is 716466528.

825664617 is a `hidden beast` number, since 8 + 25 + 6 + 6 + 4 + 617 = 666.

It is not a de Polignac number, because 825664617 - 2¹⁰ = 825663593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825664607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145803 + ... + 151359.

It is an arithmetic number, because the mean of its divisors is an integer number (76478080).

Almost surely, 2^825664617 is an apocalyptic number.

It is an amenable number.

825664617 is a deficient number, since it is larger than the sum of its proper divisors (397984663).

825664617 is a wasteful number, since it uses less digits than its factorization.

825664617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11069 (or 11063 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 825664617 is about 28734.3804004889. The cubic root of 825664617 is about 938.1405133325.

It can be divided in two parts, 825664 and 617, that added together give a square (826281 = 909²).

The spelling of 825664617 in words is "eight hundred twenty-five million, six hundred sixty-four thousand, six hundred seventeen".