93009 has 16 divisors (see below), whose sum is σ = 146432. Its totient is φ = 51408.

The previous prime is 93001. The next prime is 93047. The reversal of 93009 is 90039.

It is not a de Polignac number, because 93009 - 2³ = 93001 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93009.

It is not an unprimeable number, because it can be changed into a prime (93001) 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, 852 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (9152).

2⁹³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

93009 is a deficient number, since it is larger than the sum of its proper divisors (53423).

93009 is a wasteful number, since it uses less digits than its factorization.

93009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 93009 is about 304.9737693639. The cubic root of 93009 is about 45.3080104153.

The spelling of 93009 in words is "ninety-three thousand, nine".