8281845 has 90 divisors (see below), whose sum is σ = 17670114. Its totient is φ = 3706560.

The previous prime is 8281837. The next prime is 8281859. The reversal of 8281845 is 5481828.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 8242641 = 198^2 + 2871^2 .

It is not a de Polignac number, because 8281845 - 2³ = 8281837 is a prime.

Its product of digits (20480) is a multiple of the sum of its prime divisors (32).

It is a Curzon number.

8281845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 637059 + ... + 637071.

Almost surely, 2^8281845 is an apocalyptic number.

It is an amenable number.

8281845 is an abundant number, since it is smaller than the sum of its proper divisors (9388269).

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

8281845 is a wasteful number, since it uses less digits than its factorization.

8281845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 32 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 8281845 is about 2877.8194870422. The cubic root of 8281845 is about 202.3216536721.

Multiplying 8281845 by its product of digits (20480), we get a square (169612185600 = 411840²).

The spelling of 8281845 in words is "eight million, two hundred eighty-one thousand, eight hundred forty-five".