83009488 has 20 divisors (see below), whose sum is σ = 161256420. Its totient is φ = 41394944.

The previous prime is 83009477. The next prime is 83009489. The reversal of 83009488 is 88490038.

It can be written as a sum of positive squares in 2 ways, for example, as 21418384 + 61591104 = 4628^2 + 7848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83009488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83009489) 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, 445 + ... + 12892.

It is an arithmetic number, because the mean of its divisors is an integer number (8062821).

Almost surely, 2^83009488 is an apocalyptic number.

It is an amenable number.

83009488 is a deficient number, since it is larger than the sum of its proper divisors (78246932).

83009488 is a wasteful number, since it uses less digits than its factorization.

83009488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13734 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 83009488 is about 9110.9542859132. The cubic root of 83009488 is about 436.2236879285.

The spelling of 83009488 in words is "eighty-three million, nine thousand, four hundred eighty-eight".