4153 has 2 divisors, whose sum is σ = 4154. Its totient is φ = 4152.

The previous prime is 4139. The next prime is 4157. The reversal of 4153 is 3514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 1849 = 48^2 + 43^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4153 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁵ + 5⁵ + 1 + 3 .

It is equal to p₅₇₁ and since 4153 and 571 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (4157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2076 + 2077.

It is an arithmetic number, because the mean of its divisors is an integer number (2077).

It is an amenable number.

4153 is a deficient number, since it is larger than the sum of its proper divisors (1).

4153 is an equidigital number, since it uses as much as digits as its factorization.

4153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 13.

The square root of 4153 is about 64.4437739429. The cubic root of 4153 is about 16.0738771108.

Adding to 4153 its reverse (3514), we get a palindrome (7667).

The spelling of 4153 in words is "four thousand, one hundred fifty-three".