83208500 has 24 divisors (see below), whose sum is σ = 181728456. Its totient is φ = 33283200.

The previous prime is 83208497. The next prime is 83208533. The reversal of 83208500 is 580238.

It can be written as a sum of positive squares in 4 ways, for example, as 20830096 + 62378404 = 4564^2 + 7898^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83208500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82709 + ... + 83708.

It is an arithmetic number, because the mean of its divisors is an integer number (7572019).

Almost surely, 2^83208500 is an apocalyptic number.

It is an amenable number.

83208500 is an abundant number, since it is smaller than the sum of its proper divisors (98519956).

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

83208500 is a wasteful number, since it uses less digits than its factorization.

83208500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166436 (or 166424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 83208500 is about 9121.8693259660. The cubic root of 83208500 is about 436.5720194482.

Adding to 83208500 its reverse (580238), we get a palindrome (83788738).

The spelling of 83208500 in words is "eighty-three million, two hundred eight thousand, five hundred".