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BaseRepresentation
bin1111001101
31100001
433031
512343
64301
72560
oct1715
91301
10973
11805
12691
1359b
144d7
1544d
hex3cd

973 has 4 divisors (see below), whose sum is σ = 1120. Its totient is φ = 828.

The previous prime is 971. The next prime is 977. The reversal of 973 is 379.

Subtracting from 973 its product of digits (189), we obtain a square (784 = 282).

It can be divided in two parts, 97 and 3, that added together give a square (100 = 102).

It is a happy number.

973 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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 cyclic number.

It is not a de Polignac number, because 973 - 21 = 971 is a prime.

It is a plaindrome in base 13, base 15 and base 16.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971) 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, 63 + ... + 76.

It is an arithmetic number, because the mean of its divisors is an integer number (280).

It is an amenable number.

973 is a deficient number, since it is larger than the sum of its proper divisors (147).

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

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

The sum of its prime factors is 146.

The product of its digits is 189, while the sum is 19.

The square root of 973 is about 31.1929479210. The cubic root of 973 is about 9.9091776269.

The spelling of 973 in words is "nine hundred seventy-three", and thus it is an aban number and an oban number.

Divisors: 1 7 139 973