4057953 has 16 divisors (see below), whose sum is σ = 5617920. Its totient is φ = 2603664.

The previous prime is 4057939. The next prime is 4057967. The reversal of 4057953 is 3597504.

It is an interprime number because it is at equal distance from previous prime (4057939) and next prime (4057967).

It is a de Polignac number, because none of the positive numbers 2^k-4057953 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4057553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10518 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 2^4057953 is an apocalyptic number.

4057953 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4057953 is a deficient number, since it is larger than the sum of its proper divisors (1559967).

4057953 is a wasteful number, since it uses less digits than its factorization.

4057953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508.

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

The square root of 4057953 is about 2014.4361493976. The cubic root of 4057953 is about 159.5030544843.

The spelling of 4057953 in words is "four million, fifty-seven thousand, nine hundred fifty-three".