83833 has 2 divisors, whose sum is σ = 83834. Its totient is φ = 83832.

The previous prime is 83813. The next prime is 83843. The reversal of 83833 is 33838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 12544 = 267^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 83833 - 2¹³ = 75641 is a prime.

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 83798 and 83807.

It is not a weakly prime, because it can be changed into another prime (83813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41916 + 41917.

It is an arithmetic number, because the mean of its divisors is an integer number (41917).

2⁸³⁸³³ is an apocalyptic number.

It is an amenable number.

83833 is a deficient number, since it is larger than the sum of its proper divisors (1).

83833 is an equidigital number, since it uses as much as digits as its factorization.

83833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 25.

The square root of 83833 is about 289.5392892165. The cubic root of 83833 is about 43.7661491403.

The spelling of 83833 in words is "eighty-three thousand, eight hundred thirty-three".