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3918 = 23653

3918 has 8 divisors (see below), whose sum is σ = 7848. Its totient is φ = 1304.

The previous prime is 3917. The next prime is 3919. The reversal of 3918 is 8193.

3918 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3917) and next prime (3919).

It is a sphenic number, since it is the product of 3 distinct primes.

3918 is an admirable number.

It is an Ulam number.

It is a plaindrome in base 5.

It is a nialpdrome in base 9.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 3894 and 3903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3911) 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, 321 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (981).

3918 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (3924).

3918 is a wasteful number, since it uses less digits than its factorization.

3918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658.

The product of its digits is 216, while the sum is 21.

The square root of 3918 is about 62.5939294181. The cubic root of 3918 is about 15.7647883275.

The spelling of 3918 in words is "three thousand, nine hundred eighteen".

Divisors: 1 2 3 6 653 1306 1959 3918