84909 has 16 divisors (see below), whose sum is σ = 129024. Its totient is φ = 49200.

The previous prime is 84871. The next prime is 84913. The reversal of 84909 is 90948.

It is not a de Polignac number, because 84909 - 2⁸ = 84653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2⁸⁴⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

84909 is a deficient number, since it is larger than the sum of its proper divisors (44115).

84909 is a wasteful number, since it uses less digits than its factorization.

84909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 84909 is about 291.3914892374. The cubic root of 84909 is about 43.9526004718.

The spelling of 84909 in words is "eighty-four thousand, nine hundred nine".