83218512 has 80 divisors (see below), whose sum is σ = 233054528. Its totient is φ = 25436160.

The previous prime is 83218507. The next prime is 83218517. The reversal of 83218512 is 21581238.

It is an interprime number because it is at equal distance from previous prime (83218507) and next prime (83218517).

It is a self number, because there is not a number n which added to its sum of digits gives 83218512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83218517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120087 + ... + 120777.

Almost surely, 2^83218512 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 83218512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116527264).

83218512 is an abundant number, since it is smaller than the sum of its proper divisors (149836016).

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

83218512 is a wasteful number, since it uses less digits than its factorization.

83218512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 83218512 is about 9122.4181004819. The cubic root of 83218512 is about 436.5895288122.

The spelling of 83218512 in words is "eighty-three million, two hundred eighteen thousand, five hundred twelve".