83345472 has 126 divisors (see below), whose sum is σ = 277992078. Its totient is φ = 23804928.

The previous prime is 83345417. The next prime is 83345473. The reversal of 83345472 is 27454338.

It is a happy number.

83345472 is a `hidden beast` number, since 83 + 34 + 547 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79281216 + 4064256 = 8904^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83345473) 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 17 ways as a sum of consecutive naturals, for example, 26748 + ... + 29700.

Almost surely, 2^83345472 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 83345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138996039).

83345472 is an abundant number, since it is smaller than the sum of its proper divisors (194646606).

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

83345472 is a wasteful number, since it uses less digits than its factorization.

83345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2965 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 83345472 is about 9129.3741296980. The cubic root of 83345472 is about 436.8114395426.

The spelling of 83345472 in words is "eighty-three million, three hundred forty-five thousand, four hundred seventy-two".