83355000 has 80 divisors (see below), whose sum is σ = 260447880. Its totient is φ = 22224000.

The previous prime is 83354989. The next prime is 83355007. The reversal of 83355000 is 55338.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83355007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12222 + ... + 17778.

Almost surely, 2^83355000 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 83355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130223940).

83355000 is an abundant number, since it is smaller than the sum of its proper divisors (177092880).

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

83355000 is a wasteful number, since it uses less digits than its factorization.

83355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 83355000 is about 9129.8959468331. The cubic root of 83355000 is about 436.8280842413.

The spelling of 83355000 in words is "eighty-three million, three hundred fifty-five thousand".