84309 has 8 divisors (see below), whose sum is σ = 113760. Its totient is φ = 55536.

The previous prime is 84307. The next prime is 84313. The reversal of 84309 is 90348.

84309 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 84309 - 2¹ = 84307 is a prime.

84309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (14220).

2⁸⁴³⁰⁹ is an apocalyptic number.

It is an amenable number.

84309 is a deficient number, since it is larger than the sum of its proper divisors (29451).

84309 is a wasteful number, since it uses less digits than its factorization.

84309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 84309 is about 290.3601212288. The cubic root of 84309 is about 43.8488269318.

It can be divided in two parts, 84 and 309, that added together give a palindrome (393).

The spelling of 84309 in words is "eighty-four thousand, three hundred nine".