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10973 is a prime number
BaseRepresentation
bin10101011011101
3120001102
42223131
5322343
6122445
743664
oct25335
916042
1010973
118276
126425
134cc1
143ddb
1533b8
hex2add

10973 has 2 divisors, whose sum is σ = 10974. Its totient is φ = 10972.

The previous prime is 10957. The next prime is 10979. The reversal of 10973 is 37901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 1369 = 98^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 10973 - 24 = 10957 is a prime.

It is a plaindrome in base 6 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5486 + 5487.

It is an arithmetic number, because the mean of its divisors is an integer number (5487).

210973 is an apocalyptic number.

It is an amenable number.

10973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10973 is an equidigital number, since it uses as much as digits as its factorization.

10973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 10973 is about 104.7520882847. The cubic root of 10973 is about 22.2215897968.

It can be divided in two parts, 10 and 973, that multiplied together give a triangular number (9730 = T139).

The spelling of 10973 in words is "ten thousand, nine hundred seventy-three".