4004016 has 20 divisors (see below), whose sum is σ = 10343832. Its totient is φ = 1334656.

The previous prime is 4004009. The next prime is 4004023. The reversal of 4004016 is 6104004.

It is an interprime number because it is at equal distance from previous prime (4004009) and next prime (4004023).

It is a junction number, because it is equal to n+sod(n) for n = 4003986 and 4004004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41661 + ... + 41756.

Almost surely, 2^4004016 is an apocalyptic number.

It is an amenable number.

4004016 is an abundant number, since it is smaller than the sum of its proper divisors (6339816).

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

4004016 is a wasteful number, since it uses less digits than its factorization.

4004016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83428 (or 83422 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4004016 is about 2001.0037481224. The cubic root of 4004016 is about 158.7932124494.

Subtracting from 4004016 its sum of digits (15), we obtain a square (4004001 = 2001²).

The spelling of 4004016 in words is "four million, four thousand, sixteen".