845649 has 24 divisors (see below), whose sum is σ = 1444352. Its totient is φ = 466560.

The previous prime is 845623. The next prime is 845653. The reversal of 845649 is 946548.

845649 is a `hidden beast` number, since 8 + 4 + 5 + 649 = 666.

It is not a de Polignac number, because 845649 - 2⁹ = 845137 is a prime.

845649 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737 + ... + 2169.

845649 is a Friedman number, since it can be written as ((45+6)^4-9)/8, using all its digits and the basic arithmetic operations.

2⁸⁴⁵⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

845649 is a deficient number, since it is larger than the sum of its proper divisors (598703).

845649 is a wasteful number, since it uses less digits than its factorization.

845649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 474 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 845649 is about 919.5917572488. The cubic root of 845649 is about 94.5649171818.

The spelling of 845649 in words is "eight hundred forty-five thousand, six hundred forty-nine".