83353104 has 80 divisors (see below), whose sum is σ = 249686400. Its totient is φ = 26573184.

The previous prime is 83353103. The next prime is 83353111. The reversal of 83353104 is 40135338.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83353103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5742 + ... + 14130.

It is an arithmetic number, because the mean of its divisors is an integer number (3121080).

Almost surely, 2^83353104 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 83353104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124843200).

83353104 is an abundant number, since it is smaller than the sum of its proper divisors (166333296).

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

83353104 is a wasteful number, since it uses less digits than its factorization.

83353104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 83353104 is about 9129.7921115434. The cubic root of 83353104 is about 436.8247721731.

The spelling of 83353104 in words is "eighty-three million, three hundred fifty-three thousand, one hundred four".