93084 has 12 divisors (see below), whose sum is σ = 217224. Its totient is φ = 31024.

The previous prime is 93083. The next prime is 93089. The reversal of 93084 is 48039.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 9⁵ + 3⁵ + 0 + 8⁵ + 4⁵ .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3867 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (18102).

It is a narcissistic number, because it is equal to 9⁵ + 3⁵ + 0⁵ + 8⁵ + 4⁵.

2⁹³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

93084 is an abundant number, since it is smaller than the sum of its proper divisors (124140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108612).

93084 is a wasteful number, since it uses less digits than its factorization.

93084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7762 counting only the distinct ones).

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

The square root of 93084 is about 305.0967059803. The cubic root of 93084 is about 45.3201855374.

The spelling of 93084 in words is "ninety-three thousand, eighty-four".