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19973 is a prime number
BaseRepresentation
bin100111000000101
31000101202
410320011
51114343
6232245
7112142
oct47005
930352
1019973
1114008
12b685
139125
1473c9
155db8
hex4e05

19973 has 2 divisors, whose sum is σ = 19974. Its totient is φ = 19972.

The previous prime is 19963. The next prime is 19979. The reversal of 19973 is 37991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16129 + 3844 = 127^2 + 62^2 .

It is an emirp because it is prime and its reverse (37991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19973 - 28 = 19717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9986 + 9987.

It is an arithmetic number, because the mean of its divisors is an integer number (9987).

219973 is an apocalyptic number.

It is an amenable number.

19973 is a deficient number, since it is larger than the sum of its proper divisors (1).

19973 is an equidigital number, since it uses as much as digits as its factorization.

19973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1701, while the sum is 29.

The square root of 19973 is about 141.3258645825. The cubic root of 19973 is about 27.1319557859.

Adding to 19973 its sum of digits (29), we get a palindrome (20002).

It can be divided in two parts, 199 and 73, that added together give a palindrome (272).

The spelling of 19973 in words is "nineteen thousand, nine hundred seventy-three".