4065138 has 72 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1053360.

The previous prime is 4065137. The next prime is 4065157. The reversal of 4065138 is 8315604.

4065138 is a `hidden beast` number, since 4 + 0 + 651 + 3 + 8 = 666.

4065138 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

4065138 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (4065137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9493 + ... + 9911.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^4065138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

4065138 is an abundant number, since it is smaller than the sum of its proper divisors (7138782).

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

4065138 is a wasteful number, since it uses less digits than its factorization.

4065138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4065138 is about 2016.2187381333. The cubic root of 4065138 is about 159.5971375295.

The spelling of 4065138 in words is "four million, sixty-five thousand, one hundred thirty-eight".