84506 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 38640.

The previous prime is 84503. The next prime is 84509. The reversal of 84506 is 60548.

84506 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (84503) and next prime (84509).

It is not an unprimeable number, because it can be changed into a prime (84503) 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, 1775 + ... + 1821.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁸⁴⁵⁰⁶ is an apocalyptic number.

84506 is a deficient number, since it is larger than the sum of its proper divisors (53734).

84506 is a wasteful number, since it uses less digits than its factorization.

84506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 84506 is about 290.6991572055. The cubic root of 84506 is about 43.8829533773.

The spelling of 84506 in words is "eighty-four thousand, five hundred six".