83080284 has 72 divisors (see below), whose sum is σ = 226855440. Its totient is φ = 23595264.

The previous prime is 83080253. The next prime is 83080289. The reversal of 83080284 is 48208038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83080289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134344 + ... + 134960.

It is an arithmetic number, because the mean of its divisors is an integer number (3150770).

Almost surely, 2^83080284 is an apocalyptic number.

83080284 is a gapful number since it is divisible by the number (84) 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 83080284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113427720).

83080284 is an abundant number, since it is smaller than the sum of its proper divisors (143775156).

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

83080284 is a wasteful number, since it uses less digits than its factorization.

83080284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 83080284 is about 9114.8386710901. The cubic root of 83080284 is about 436.3476661927.

The spelling of 83080284 in words is "eighty-three million, eighty thousand, two hundred eighty-four".