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9953 = 37269
BaseRepresentation
bin10011011100001
3111122122
42123201
5304303
6114025
741006
oct23341
914578
109953
117529
125915
1346b8
1438ad
152e38
hex26e1

9953 has 4 divisors (see below), whose sum is σ = 10260. Its totient is φ = 9648.

The previous prime is 9949. The next prime is 9967. The reversal of 9953 is 3599.

9953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3599 = 5961.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 5329 = 68^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 9953 - 22 = 9949 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 14.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9923) 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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

29953 is an apocalyptic number.

It is an amenable number.

9953 is a deficient number, since it is larger than the sum of its proper divisors (307).

9953 is a wasteful number, since it uses less digits than its factorization.

9953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its digits is 1215, while the sum is 26.

The square root of 9953 is about 99.7647232242. The cubic root of 9953 is about 21.5105410723.

The spelling of 9953 in words is "nine thousand, nine hundred fifty-three".

Divisors: 1 37 269 9953