4018 has 12 divisors (see below), whose sum is σ = 7182. Its totient is φ = 1680.

The previous prime is 4013. The next prime is 4019. The reversal of 4018 is 8104.

4018 is nontrivially palindromic in base 13.

4018 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3969 + 49 = 63^2 + 7^2 .

It is a super-2 number, since 2×4018^{2} = 32288648, which contains 22 as substring.

It is an Ulam number.

4018 is an undulating number in base 9.

4018 is a modest number, since divided by 18 gives 4 as remainder.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3989 and 4007.

It is not an unprimeable number, because it can be changed into a prime (4013) by changing a digit.

4018 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 5 ways as a sum of consecutive naturals, for example, 78 + ... + 118.

2^{4018} is an apocalyptic number.

4018 is a deficient number, since it is larger than the sum of its proper divisors (3164).

4018 is a wasteful number, since it uses less digits than its factorization.

4018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4018 is about 63.3876959670. The cubic root of 4018 is about 15.8977859080.

Subtracting from 4018 its sum of digits (13), we obtain a triangular number (4005 = T_{89}).

The spelling of 4018 in words is "four thousand, eighteen".

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