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1973 is a prime number
BaseRepresentation
bin11110110101
32201002
4132311
530343
613045
75516
oct3665
92632
101973
111534
121185
13b8a
14a0d
158b8
hex7b5

1973 has 2 divisors, whose sum is σ = 1974. Its totient is φ = 1972.

The previous prime is 1951. The next prime is 1979. The reversal of 1973 is 3791.

1973 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1444 + 529 = 38^2 + 23^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1973 is a prime.

It is a Sophie Germain prime.

1973 is an undulating number in base 15.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1979) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 986 + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (987).

It is an amenable number.

1973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1973 is an equidigital number, since it uses as much as digits as its factorization.

1973 is an evil number, because the sum of its binary digits is even.

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

The square root of 1973 is about 44.4184646290. The cubic root of 1973 is about 12.5422569868.

Subtracting from 1973 its sum of digits (20), we obtain a triangular number (1953 = T62).

The spelling of 1973 in words is "one thousand, nine hundred seventy-three".