4002116 has 12 divisors (see below), whose sum is σ = 7245420. Its totient is φ = 1932000.

The previous prime is 4002113. The next prime is 4002127. The reversal of 4002116 is 6112004.

It can be written as a sum of positive squares in 2 ways, for example, as 2190400 + 1811716 = 1480^2 + 1346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4002116.

It is not an unprimeable number, because it can be changed into a prime (4002113) 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, 17135 + ... + 17366.

It is an arithmetic number, because the mean of its divisors is an integer number (603785).

Almost surely, 2^4002116 is an apocalyptic number.

It is an amenable number.

4002116 is a deficient number, since it is larger than the sum of its proper divisors (3243304).

4002116 is a wasteful number, since it uses less digits than its factorization.

4002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34534 (or 34532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4002116 is about 2000.5289300582. The cubic root of 4002116 is about 158.7680914344.

It can be divided in two parts, 400 and 2116, that multiplied together give a square (846400 = 920²).

The spelling of 4002116 in words is "four million, two thousand, one hundred sixteen".