4053753 has 16 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 2456640.

The previous prime is 4053743. The next prime is 4053761. The reversal of 4053753 is 3573504.

It is a happy number.

4053753 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 4053753 - 2⁴ = 4053737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4053743) 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, 6528 + ... + 7121.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 2^4053753 is an apocalyptic number.

It is an amenable number.

4053753 is a deficient number, since it is larger than the sum of its proper divisors (2498247).

4053753 is a wasteful number, since it uses less digits than its factorization.

4053753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13669 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 4053753 is about 2013.3934041811. The cubic root of 4053753 is about 159.4480066903.

Subtracting from 4053753 its reverse (3573504), we obtain a square (480249 = 693²).

The spelling of 4053753 in words is "four million, fifty-three thousand, seven hundred fifty-three".