4200114 has 16 divisors (see below), whose sum is σ = 8507520. Its totient is φ = 1382160.

The previous prime is 4200113. The next prime is 4200127. The reversal of 4200114 is 4110024.

It is a super-2 number, since 2×4200114² = 35281915225992, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4200114.

It is not an unprimeable number, because it can be changed into a prime (4200113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3957 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (531720).

Almost surely, 2^4200114 is an apocalyptic number.

4200114 is an abundant number, since it is smaller than the sum of its proper divisors (4307406).

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

4200114 is a wasteful number, since it uses less digits than its factorization.

4200114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4200114 is about 2049.4179661553. The cubic root of 4200114 is about 161.3443243580.

Adding to 4200114 its reverse (4110024), we get a palindrome (8310138).

The spelling of 4200114 in words is "four million, two hundred thousand, one hundred fourteen".