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9973 is a prime number
BaseRepresentation
bin10011011110101
3111200101
42123311
5304343
6114101
741035
oct23365
914611
109973
117547
125931
134702
1438c5
152e4d
hex26f5

9973 has 2 divisors, whose sum is σ = 9974. Its totient is φ = 9972.

The previous prime is 9967. The next prime is 10007. The reversal of 9973 is 3799.

Adding to 9973 its sum of digits (28), we get a palindrome (10001).

It can be divided in two parts, 997 and 3, that added together give a cube (1000 = 103).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 3249 = 82^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 9973 - 25 = 9941 is a prime.

It is a nialpdrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986 + 4987.

It is an arithmetic number, because the mean of its divisors is an integer number (4987).

29973 is an apocalyptic number.

It is an amenable number.

9973 is a deficient number, since it is larger than the sum of its proper divisors (1).

9973 is an equidigital number, since it uses as much as digits as its factorization.

9973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 28.

The square root of 9973 is about 99.8649087518. The cubic root of 9973 is about 21.5249395110.

The spelling of 9973 in words is "nine thousand, nine hundred seventy-three".