4002 has 16 divisors (see below), whose sum is σ = 8640.
Its totient is φ = 1232.
The previous prime is 4001. The next prime is 4003. The reversal of 4002 is 2004.
It is an interprime number because it is at equal distance from previous prime (4001) and next prime (4003).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a plaindrome in base 7 and base 15.
It is a nialpdrome in base 8 and base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4001) 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 in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 152.
It is an arithmetic number, because the mean of its divisors is an integer number (540).
24002 is an apocalyptic number.
4002 is an abundant number, since it is smaller than the sum of its proper divisors (4638).
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 (4320).
4002 is a wasteful number, since it uses less digits than its factorization.
4002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57.
The product of its (nonzero) digits is 8, while the sum is 6.
The square root of 4002 is about 63.2613626157.
The cubic root of 4002 is about 15.8766557473.
Adding to 4002 its reverse (2004), we get a palindrome (6006).
The spelling of 4002 in words is "four thousand, two", and thus it is an eban number and an iban number.