93948 has 12 divisors (see below), whose sum is σ = 219240. Its totient is φ = 31312.

The previous prime is 93941. The next prime is 93949. The reversal of 93948 is 84939.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93948.

It is not an unprimeable number, because it can be changed into a prime (93941) by changing a digit.

93948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3903 + ... + 3926.

It is an arithmetic number, because the mean of its divisors is an integer number (18270).

2⁹³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

93948 is an abundant number, since it is smaller than the sum of its proper divisors (125292).

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 (109620).

93948 is a wasteful number, since it uses less digits than its factorization.

93948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836 (or 7834 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 93948 is about 306.5093799543. The cubic root of 93948 is about 45.4599736548.

Subtracting from 93948 its reverse (84939), we obtain a palindrome (9009).

The spelling of 93948 in words is "ninety-three thousand, nine hundred forty-eight".