83345730 has 96 divisors (see below), whose sum is σ = 229578624. Its totient is φ = 19289088.

The previous prime is 83345687. The next prime is 83345827. The reversal of 83345730 is 3754338.

It is a junction number, because it is equal to n+sod(n) for n = 83345691 and 83345700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85707 + ... + 86673.

It is an arithmetic number, because the mean of its divisors is an integer number (2391444).

Almost surely, 2^83345730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83345730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114789312).

83345730 is an abundant number, since it is smaller than the sum of its proper divisors (146232894).

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

83345730 is a wasteful number, since it uses less digits than its factorization.

83345730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 83345730 is about 9129.3882599000. The cubic root of 83345730 is about 436.8118902659.

The spelling of 83345730 in words is "eighty-three million, three hundred forty-five thousand, seven hundred thirty".