4057935 has 24 divisors (see below), whose sum is σ = 7554096. Its totient is φ = 1854720.

The previous prime is 4057927. The next prime is 4057939. The reversal of 4057935 is 5397504.

It is not a de Polignac number, because 4057935 - 2³ = 4057927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4057896 and 4057905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057939) 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, 2026 + ... + 3495.

It is an arithmetic number, because the mean of its divisors is an integer number (314754).

Almost surely, 2^4057935 is an apocalyptic number.

4057935 is a deficient number, since it is larger than the sum of its proper divisors (3496161).

4057935 is a wasteful number, since it uses less digits than its factorization.

4057935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 4057935 is about 2014.4316816413. The cubic root of 4057935 is about 159.5028186463.

It can be divided in two parts, 40 and 57935, that added together give a palindrome (57975).

The spelling of 4057935 in words is "four million, fifty-seven thousand, nine hundred thirty-five".