93924 has 18 divisors (see below), whose sum is σ = 237510. Its totient is φ = 31296.

The previous prime is 93923. The next prime is 93937. The reversal of 93924 is 42939.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 14400 = 282^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93924.

It is not an unprimeable number, because it can be changed into a prime (93923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1269 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (13195).

2⁹³⁹²⁴ is an apocalyptic number.

It is an amenable number.

93924 is an abundant number, since it is smaller than the sum of its proper divisors (143586).

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

93924 is a wasteful number, since it uses less digits than its factorization.

93924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2614 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 93924 is about 306.4702269389. The cubic root of 93924 is about 45.4561022497.

The spelling of 93924 in words is "ninety-three thousand, nine hundred twenty-four".