4065057 has 18 divisors (see below), whose sum is σ = 6255522. Its totient is φ = 2534976.

The previous prime is 4065029. The next prime is 4065059. The reversal of 4065057 is 7505604.

4065057 is a `hidden beast` number, since 4 + 0 + 650 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 239121 = 1956^2 + 489^2 .

It is not a de Polignac number, because 4065057 - 2¹⁰ = 4064033 is a prime.

4065057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4065057.

It is not an unprimeable number, because it can be changed into a prime (4065059) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24858 + ... + 25020.

It is an arithmetic number, because the mean of its divisors is an integer number (347529).

Almost surely, 2^4065057 is an apocalyptic number.

It is an amenable number.

4065057 is a deficient number, since it is larger than the sum of its proper divisors (2190465).

4065057 is a wasteful number, since it uses less digits than its factorization.

4065057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4065057 is about 2016.1986509270. The cubic root of 4065057 is about 159.5960775036.

The spelling of 4065057 in words is "four million, sixty-five thousand, fifty-seven".