83288712 has 128 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 23470080.

The previous prime is 83288701. The next prime is 83288713. The reversal of 83288712 is 21788238.

It is a super-3 number, since 3×83288712³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83288713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217273 + ... + 217655.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^83288712 is an apocalyptic number.

83288712 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83288712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

83288712 is an abundant number, since it is smaller than the sum of its proper divisors (160566648).

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

83288712 is a wasteful number, since it uses less digits than its factorization.

83288712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 83288712 is about 9126.2649534188. The cubic root of 83288712 is about 436.7122577990.

The spelling of 83288712 in words is "eighty-three million, two hundred eighty-eight thousand, seven hundred twelve".