9653 has 6 divisors (see below), whose sum is σ = 11286. Its totient is φ = 8232.

The previous prime is 9649. The next prime is 9661. The reversal of 9653 is 3569.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 49 = 98^2 + 7^2 .

It is not a de Polignac number, because 9653 - 2² = 9649 is a prime.

It is a Duffinian number.

9653 is an undulating number in base 14.

It is a nialpdrome in base 10.

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 9653.

It is not an unprimeable number, because it can be changed into a prime (9613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1881).

2⁹⁶⁵³ is an apocalyptic number.

It is an amenable number.

9653 is a deficient number, since it is larger than the sum of its proper divisors (1633).

9653 is a wasteful number, since it uses less digits than its factorization.

9653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 9653 is about 98.2496819333. The cubic root of 9653 is about 21.2922113661.

Subtracting from 9653 its reverse (3569), we obtain a square (6084 = 78²).

The spelling of 9653 in words is "nine thousand, six hundred fifty-three".