83047100 has 72 divisors (see below), whose sum is σ = 191914800. Its totient is φ = 31104000.

The previous prime is 83047051. The next prime is 83047117. The reversal of 83047100 is 174038.

It is a happy number.

It is a super-3 number, since 3×83047100³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206900 + ... + 207300.

Almost surely, 2^83047100 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 83047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95957400).

83047100 is an abundant number, since it is smaller than the sum of its proper divisors (108867700).

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

83047100 is a wasteful number, since it uses less digits than its factorization.

83047100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 83047100 is about 9113.0181608510. The cubic root of 83047100 is about 436.2895630001.

The spelling of 83047100 in words is "eighty-three million, forty-seven thousand, one hundred".