83395472 has 40 divisors (see below), whose sum is σ = 171893016. Its totient is φ = 39059456.

The previous prime is 83395471. The next prime is 83395519. The reversal of 83395472 is 27459338.

It can be written as a sum of positive squares in 4 ways, for example, as 49336576 + 34058896 = 7024^2 + 5836^2 .

It is not an unprimeable number, because it can be changed into a prime (83395471) 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 7 ways as a sum of consecutive naturals, for example, 69308 + ... + 70500.

Almost surely, 2^83395472 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 83395472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85946508).

83395472 is an abundant number, since it is smaller than the sum of its proper divisors (88497544).

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

83395472 is a wasteful number, since it uses less digits than its factorization.

83395472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 83395472 is about 9132.1121324697. The cubic root of 83395472 is about 436.8987716453.

The spelling of 83395472 in words is "eighty-three million, three hundred ninety-five thousand, four hundred seventy-two".