4053 has 8 divisors (see below), whose sum is σ = 6208. Its totient is φ = 2304.

The previous prime is 4051. The next prime is 4057. The reversal of 4053 is 3504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4053 - 2¹ = 4051 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4053.

It is not an unprimeable number, because it can be changed into a prime (4051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (776).

2⁴⁰⁵³ is an apocalyptic number.

It is an amenable number.

4053 is a deficient number, since it is larger than the sum of its proper divisors (2155).

4053 is a wasteful number, since it uses less digits than its factorization.

4053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 4053 is about 63.6631761696. The cubic root of 4053 is about 15.9438133388.

Subtracting from 4053 its product of nonzero digits (60), we obtain a palindrome (3993).

Adding to 4053 its reverse (3504), we get a palindrome (7557).

The spelling of 4053 in words is "four thousand, fifty-three".