8133444 has 144 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2185920.

The previous prime is 8133431. The next prime is 8133449. The reversal of 8133444 is 4443318.

It is a super-2 number, since 2×8133444² = 132305822602272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8133449) 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 47 ways as a sum of consecutive naturals, for example, 173029 + ... + 173075.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 2^8133444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8133444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

8133444 is an abundant number, since it is smaller than the sum of its proper divisors (17026236).

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

8133444 is a wasteful number, since it uses less digits than its factorization.

8133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 8133444 is about 2851.9193536985. The cubic root of 8133444 is about 201.1059069115.

It can be divided in two parts, 813 and 3444, that multiplied together give a palindrome (2799972).

The spelling of 8133444 in words is "eight million, one hundred thirty-three thousand, four hundred forty-four".