83005700 has 36 divisors (see below), whose sum is σ = 180894672. Its totient is φ = 33060000.

The previous prime is 83005691. The next prime is 83005709. The reversal of 83005700 is 750038.

It is an interprime number because it is at equal distance from previous prime (83005691) and next prime (83005709).

It is not an unprimeable number, because it can be changed into a prime (83005709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23447 + ... + 26753.

It is an arithmetic number, because the mean of its divisors is an integer number (5024852).

Almost surely, 2^83005700 is an apocalyptic number.

It is an amenable number.

83005700 is an abundant number, since it is smaller than the sum of its proper divisors (97888972).

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

83005700 is a wasteful number, since it uses less digits than its factorization.

83005700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 83005700 is about 9110.7464019146. The cubic root of 83005700 is about 436.2170523799.

Adding to 83005700 its reverse (750038), we get a palindrome (83755738).

The spelling of 83005700 in words is "eighty-three million, five thousand, seven hundred".