83212544 has 36 divisors (see below), whose sum is σ = 169261596. Its totient is φ = 40814592.

The previous prime is 83212543. The next prime is 83212553. The reversal of 83212544 is 44521238.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72454144 + 10758400 = 8512^2 + 3280^2 .

It is not an unprimeable number, because it can be changed into a prime (83212541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10502 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (4701711).

Almost surely, 2^83212544 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 83212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630798).

83212544 is an abundant number, since it is smaller than the sum of its proper divisors (86049052).

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

83212544 is an equidigital number, since it uses as much as digits as its factorization.

83212544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6188 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 83212544 is about 9122.0909883645. The cubic root of 83212544 is about 436.5790919173.

The spelling of 83212544 in words is "eighty-three million, two hundred twelve thousand, five hundred forty-four".