845382609 has 16 divisors (see below), whose sum is σ = 1266494400. Its totient is φ = 557254368.

The previous prime is 845382607. The next prime is 845382631. The reversal of 845382609 is 906283548.

845382609 is a `hidden beast` number, since 8 + 4 + 5 + 38 + 2 + 609 = 666.

It is not a de Polignac number, because 845382609 - 2¹ = 845382607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (845382607) 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, 173499 + ... + 178304.

It is an arithmetic number, because the mean of its divisors is an integer number (79155900).

Almost surely, 2^845382609 is an apocalyptic number.

845382609 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

845382609 is a deficient number, since it is larger than the sum of its proper divisors (421111791).

845382609 is a wasteful number, since it uses less digits than its factorization.

845382609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351901 (or 351895 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 845382609 is about 29075.4640375695. The cubic root of 845382609 is about 945.5498639159.

The spelling of 845382609 in words is "eight hundred forty-five million, three hundred eighty-two thousand, six hundred nine".