8442819 has 64 divisors (see below), whose sum is σ = 16220160. Its totient is φ = 4212000.

The previous prime is 8442803. The next prime is 8442839. The reversal of 8442819 is 9182448.

8442819 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8442819 - 2⁴ = 8442803 is a prime.

It is a super-2 number, since 2×8442819² = 142562385333522, which contains 22 as substring.

8442819 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64384 + ... + 64514.

It is an arithmetic number, because the mean of its divisors is an integer number (253440).

Almost surely, 2^8442819 is an apocalyptic number.

8442819 is a deficient number, since it is larger than the sum of its proper divisors (7777341).

8442819 is a wasteful number, since it uses less digits than its factorization.

8442819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8442819 is about 2905.6529386697. The cubic root of 8442819 is about 203.6240914801.

It can be divided in two parts, 8442 and 819, that added together give a cube (9261 = 21³).

The spelling of 8442819 in words is "eight million, four hundred forty-two thousand, eight hundred nineteen".