83834310 has 128 divisors (see below), whose sum is σ = 254306304. Its totient is φ = 17233920.

The previous prime is 83834297. The next prime is 83834347. The reversal of 83834310 is 1343838.

It is a super-4 number, since 4×83834310⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 81600 + ... + 82620.

It is an arithmetic number, because the mean of its divisors is an integer number (1986768).

Almost surely, 2^83834310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83834310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153152).

83834310 is an abundant number, since it is smaller than the sum of its proper divisors (170471994).

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

83834310 is a wasteful number, since it uses less digits than its factorization.

83834310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 83834310 is about 9156.1077975306. The cubic root of 83834310 is about 437.6637710682.

The spelling of 83834310 in words is "eighty-three million, eight hundred thirty-four thousand, three hundred ten".