4002123 has 16 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 2482176.

The previous prime is 4002113. The next prime is 4002127. The reversal of 4002123 is 3212004.

4002123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002123 - 2⁸ = 4001867 is a prime.

4002123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4002099 and 4002108.

It is not an unprimeable number, because it can be changed into a prime (4002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543 + ... + 5351.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^4002123 is an apocalyptic number.

4002123 is a deficient number, since it is larger than the sum of its proper divisors (1713237).

4002123 is a wasteful number, since it uses less digits than its factorization.

4002123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4002123 is about 2000.5306795948. The cubic root of 4002123 is about 158.7681840001.

Adding to 4002123 its reverse (3212004), we get a palindrome (7214127).

The spelling of 4002123 in words is "four million, two thousand, one hundred twenty-three".