83082340 has 48 divisors (see below), whose sum is σ = 191245824. Its totient is φ = 30067200.

The previous prime is 83082331. The next prime is 83082347. The reversal of 83082340 is 4328038.

It is a junction number, because it is equal to n+sod(n) for n = 83082299 and 83082308.

It is not an unprimeable number, because it can be changed into a prime (83082347) 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, 52237 + ... + 53803.

It is an arithmetic number, because the mean of its divisors is an integer number (3984288).

Almost surely, 2^83082340 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 83082340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95622912).

83082340 is an abundant number, since it is smaller than the sum of its proper divisors (108163484).

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

83082340 is a wasteful number, since it uses less digits than its factorization.

83082340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 83082340 is about 9114.9514535186. The cubic root of 83082340 is about 436.3512656163.

It can be divided in two parts, 8308 and 2340, that added together give a cube (10648 = 22³).

The spelling of 83082340 in words is "eighty-three million, eighty-two thousand, three hundred forty".