84104 has 8 divisors (see below), whose sum is σ = 157710. Its totient is φ = 42048.

The previous prime is 84089. The next prime is 84121. The reversal of 84104 is 40148.

84104 = 16² + 17² + ... + 63².

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 4 = 290^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5249 + ... + 5264.

2⁸⁴¹⁰⁴ is an apocalyptic number.

It is an amenable number.

84104 is a deficient number, since it is larger than the sum of its proper divisors (73606).

84104 is a wasteful number, since it uses less digits than its factorization.

84104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 84104 is about 290.0068964697. The cubic root of 84104 is about 43.8132581508.

Subtracting from 84104 its reverse (40148), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 84104 in words is "eighty-four thousand, one hundred four".