827445645 has 128 divisors (see below), whose sum is σ = 1666990080. Its totient is φ = 386622720.

The previous prime is 827445637. The next prime is 827445683. The reversal of 827445645 is 546544728.

827445645 is a `hidden beast` number, since 82 + 7 + 4 + 4 + 564 + 5 = 666.

It is not a de Polignac number, because 827445645 - 2³ = 827445637 is a prime.

It is a super-3 number, since 3×827445645³ (a number of 28 digits) contains 333 as substring.

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 827445645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3645022 + ... + 3645248.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^827445645 is an apocalyptic number.

It is an amenable number.

827445645 is an abundant number, since it is smaller than the sum of its proper divisors (839544435).

827445645 is a wasteful number, since it uses less digits than its factorization.

827445645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 827445645 is about 28765.3549430561. The cubic root of 827445645 is about 938.8145782148.

The spelling of 827445645 in words is "eight hundred twenty-seven million, four hundred forty-five thousand, six hundred forty-five".