93906 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 29808.

The previous prime is 93901. The next prime is 93911. The reversal of 93906 is 60939.

It is an interprime number because it is at equal distance from previous prime (93901) and next prime (93911).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 93906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93901) 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, 1975 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁹³⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

93906 is an abundant number, since it is smaller than the sum of its proper divisors (124974).

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

93906 is a wasteful number, since it uses less digits than its factorization.

93906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93906 is about 306.4408588945. The cubic root of 93906 is about 45.4531982631.

It can be divided in two parts, 93 and 906, that added together give a palindrome (999).

The spelling of 93906 in words is "ninety-three thousand, nine hundred six".