83730 has 16 divisors (see below), whose sum is σ = 201024. Its totient is φ = 22320.

The previous prime is 83719. The next prime is 83737. The reversal of 83730 is 3738.

It is a junction number, because it is equal to n+sod(n) for n = 83697 and 83706.

It is not an unprimeable number, because it can be changed into a prime (83737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (12564).

2⁸³⁷³⁰ is an apocalyptic number.

83730 is an abundant number, since it is smaller than the sum of its proper divisors (117294).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100512).

83730 is a wasteful number, since it uses less digits than its factorization.

83730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 83730 is about 289.3613657695. The cubic root of 83730 is about 43.7482176145.

The spelling of 83730 in words is "eighty-three thousand, seven hundred thirty".