4016 has 10 divisors (see below), whose sum is σ = 7812. Its totient is φ = 2000.

The previous prime is 4013. The next prime is 4019. The reversal of 4016 is 6104.

Subtracting from 4016 its sum of digits (11), we obtain a triangular number (4005 = T_{89}).

It is an interprime number because it is at equal distance from previous prime (4013) and next prime (4019).

It is a super-2 number, since 2×4016^{2} = 32256512, which contains 22 as substring.

It is a plaindrome in base 14.

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* = 3988 and 4006.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4016.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110 + ... + 141.

It is an amenable number.

4016 is a deficient number, since it is larger than the sum of its proper divisors (3796).

4016 is a wasteful number, since it uses less digits than its factorization.

4016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4016 is about 63.3719180710. The cubic root of 4016 is about 15.8951477091.

The spelling of 4016 in words is "four thousand, sixteen".

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