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9253 = 19487
BaseRepresentation
bin10010000100101
3110200201
42100211
5244003
6110501
735656
oct22045
913621
109253
116a52
125431
13429a
14352d
152b1d
hex2425

9253 has 4 divisors (see below), whose sum is σ = 9760. Its totient is φ = 8748.

The previous prime is 9241. The next prime is 9257. The reversal of 9253 is 3529.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a 4-Lehmer number, since φ(9253) divides (9253-1)4.

It is a cyclic number.

It is not a de Polignac number, because 9253 - 25 = 9221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 487 = 9253 / (9 + 2 + 5 + 3).

It is a Duffinian number.

9253 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 9253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9257) 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 in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (2440).

It is an amenable number.

9253 is a deficient number, since it is larger than the sum of its proper divisors (507).

9253 is a wasteful number, since it uses less digits than its factorization.

9253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its digits is 270, while the sum is 19.

The square root of 9253 is about 96.1925153013. The cubic root of 9253 is about 20.9939513948.

It can be divided in two parts, 925 and 3, that multiplied together give a triangular number (2775 = T74).

The spelling of 9253 in words is "nine thousand, two hundred fifty-three".

Divisors: 1 19 487 9253