4057713 has 24 divisors (see below), whose sum is σ = 6772896. Its totient is φ = 2313600.

The previous prime is 4057699. The next prime is 4057723. The reversal of 4057713 is 3177504.

It is not a de Polignac number, because 4057713 - 2⁵ = 4057681 is a prime.

4057713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4057723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478 + ... + 2888.

It is an arithmetic number, because the mean of its divisors is an integer number (282204).

Almost surely, 2^4057713 is an apocalyptic number.

It is an amenable number.

4057713 is a deficient number, since it is larger than the sum of its proper divisors (2715183).

4057713 is a wasteful number, since it uses less digits than its factorization.

4057713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 4057713 is about 2014.3765784977. The cubic root of 4057713 is about 159.4999099196.

It can be divided in two parts, 405 and 7713, that added together give a palindrome (8118).

The spelling of 4057713 in words is "four million, fifty-seven thousand, seven hundred thirteen".