84004 has 6 divisors (see below), whose sum is σ = 147014. Its totient is φ = 42000.

The previous prime is 83987. The next prime is 84011. The reversal of 84004 is 40048.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 22500 = 248^2 + 150^2 .

It is an Ulam number.

It is an unprimeable number.

84004 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 10497 + ... + 10504.

2⁸⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

84004 is a deficient number, since it is larger than the sum of its proper divisors (63010).

84004 is a wasteful number, since it uses less digits than its factorization.

84004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21005 (or 21003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 84004 is about 289.8344354972. The cubic root of 84004 is about 43.7958865496.

Subtracting from 84004 its reverse (40048), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 84004 in words is "eighty-four thousand, four".