4006314 has 48 divisors (see below), whose sum is σ = 9662400. Its totient is φ = 1229904.

The previous prime is 4006309. The next prime is 4006319. The reversal of 4006314 is 4136004.

4006314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4006309) and next prime (4006319).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4006319) 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 23 ways as a sum of consecutive naturals, for example, 8907 + ... + 9345.

It is an arithmetic number, because the mean of its divisors is an integer number (201300).

Almost surely, 2^4006314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831200).

4006314 is an abundant number, since it is smaller than the sum of its proper divisors (5656086).

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

4006314 is a wasteful number, since it uses less digits than its factorization.

4006314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4006314 is about 2001.5778775756. The cubic root of 4006314 is about 158.8235850399.

The spelling of 4006314 in words is "four million, six thousand, three hundred fourteen".