84014 has 16 divisors (see below), whose sum is σ = 152928. Its totient is φ = 33792.

The previous prime is 84011. The next prime is 84017. The reversal of 84014 is 41048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84011) and next prime (84017).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83983 and 84001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (9558).

2⁸⁴⁰¹⁴ is an apocalyptic number.

84014 is a deficient number, since it is larger than the sum of its proper divisors (68914).

84014 is a wasteful number, since it uses less digits than its factorization.

84014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

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

The square root of 84014 is about 289.8516862121. The cubic root of 84014 is about 43.7976243299.

The spelling of 84014 in words is "eighty-four thousand, fourteen".