Search a number
10453 is a prime number

10453 has 2 divisors, whose sum is σ = 10454. Its totient is φ = 10452.

The previous prime is 10433. The next prime is 10457. The reversal of 10453 is 35401.

Subtracting from 10453 its sum of digits (13), we obtain a triangular number (10440 = T144).

Adding to 10453 its reverse (35401), we get a palindrome (45854).

10453 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 49 = 102^2 + 7^2 .

It is an emirp because it is prime and its reverse (35401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10453 - 29 = 9941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10457) 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 as a sum of consecutive naturals, namely, 5226 + 5227.

It is an arithmetic number, because the mean of its divisors is an integer number (5227).

210453 is an apocalyptic number.

It is an amenable number.

10453 is a deficient number, since it is larger than the sum of its proper divisors (1).

10453 is an equidigital number, since it uses as much as digits as its factorization.

10453 is an odious number, because the sum of its binary digits is odd.

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

The square root of 10453 is about 102.2399139280. The cubic root of 10453 is about 21.8648742251.

The spelling of 10453 in words is "ten thousand, four hundred fifty-three".