67084 has 12 divisors (see below), whose sum is σ = 121408. Its totient is φ = 32400.

The previous prime is 67079. The next prime is 67103. The reversal of 67084 is 48076.

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 in 3 ways as a sum of consecutive naturals, for example, 147 + ... + 394.

2⁶⁷⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

67084 is a deficient number, since it is larger than the sum of its proper divisors (54324).

67084 is a wasteful number, since it uses less digits than its factorization.

67084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 67084 is about 259.0057914410. The cubic root of 67084 is about 40.6324475498.

It can be divided in two parts, 670 and 84, that multiplied together give a triangular number (56280 = T₃₃₅).

The spelling of 67084 in words is "sixty-seven thousand, eighty-four".