83330 has 16 divisors (see below), whose sum is σ = 161784. Its totient is φ = 30720.

The previous prime is 83311. The next prime is 83339. The reversal of 83330 is 3338.

It is a happy number.

83330 is nontrivially palindromic in base 11 and base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 69169 + 14161 = 263^2 + 119^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 83299 and 83308.

It is not an unprimeable number, because it can be changed into a prime (83339) by changing a digit.

83330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191 + ... + 450.

2⁸³³³⁰ is an apocalyptic number.

83330 is a deficient number, since it is larger than the sum of its proper divisors (78454).

83330 is a wasteful number, since it uses less digits than its factorization.

83330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 83330 is about 288.6693610344. The cubic root of 83330 is about 43.6784408421.

Adding to 83330 its reverse (3338), we get a palindrome (86668).

The spelling of 83330 in words is "eighty-three thousand, three hundred thirty".