83058500 has 96 divisors (see below), whose sum is σ = 218400000. Its totient is φ = 26956800.

The previous prime is 83058487. The next prime is 83058509. The reversal of 83058500 is 585038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83058509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65876 + ... + 67124.

It is an arithmetic number, because the mean of its divisors is an integer number (2275000).

Almost surely, 2^83058500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83058500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109200000).

83058500 is an abundant number, since it is smaller than the sum of its proper divisors (135341500).

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

83058500 is a wasteful number, since it uses less digits than its factorization.

83058500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 83058500 is about 9113.6436182243. The cubic root of 83058500 is about 436.3095254610.

The spelling of 83058500 in words is "eighty-three million, fifty-eight thousand, five hundred".