83084 has 6 divisors (see below), whose sum is σ = 145404. Its totient is φ = 41540.

The previous prime is 83077. The next prime is 83089. The reversal of 83084 is 48038.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10382 + ... + 10389.

It is an arithmetic number, because the mean of its divisors is an integer number (24234).

2⁸³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

83084 is a deficient number, since it is larger than the sum of its proper divisors (62320).

83084 is a wasteful number, since it uses less digits than its factorization.

83084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20775 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83084 is about 288.2429530795. The cubic root of 83084 is about 43.6354171722.

The spelling of 83084 in words is "eighty-three thousand, eighty-four".