4953 has 8 divisors (see below), whose sum is σ = 7168. Its totient is φ = 3024.

The previous prime is 4951. The next prime is 4957. The reversal of 4953 is 3594.

4953 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 4953 - 2¹ = 4951 is a prime.

It is a d-powerful number, because it can be written as 4⁶ + 5³ + 9³ + 3 .

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4953.

It is not an unprimeable number, because it can be changed into a prime (4951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (896).

2⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

4953 is a deficient number, since it is larger than the sum of its proper divisors (2215).

4953 is a wasteful number, since it uses less digits than its factorization.

4953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 540, while the sum is 21.

The square root of 4953 is about 70.3775532397. The cubic root of 4953 is about 17.0460114566.

It can be divided in two parts, 495 and 3, that multiplied together give a triangular number (1485 = T₅₄).

The spelling of 4953 in words is "four thousand, nine hundred fifty-three".