Search a number
-
+
164685973 is a prime number
BaseRepresentation
bin10011101000011…
…10100010010101
3102110212220200111
421310032202111
5314124422343
624201443021
74036544014
oct1164164225
9373786614
10164685973
1184a63011
12471a0471
132817162a
1417c2ca7b
15e6d0c9d
hex9d0e895

164685973 has 2 divisors, whose sum is σ = 164685974. Its totient is φ = 164685972.

The previous prime is 164685959. The next prime is 164686009. The reversal of 164685973 is 379586461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163379524 + 1306449 = 12782^2 + 1143^2 .

It is a cyclic number.

It is not a de Polignac number, because 164685973 - 213 = 164677781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164685923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82342986 + 82342987.

It is an arithmetic number, because the mean of its divisors is an integer number (82342987).

Almost surely, 2164685973 is an apocalyptic number.

It is an amenable number.

164685973 is a deficient number, since it is larger than the sum of its proper divisors (1).

164685973 is an equidigital number, since it uses as much as digits as its factorization.

164685973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1088640, while the sum is 49.

The square root of 164685973 is about 12833.0032728119. The cubic root of 164685973 is about 548.1324792480.

The spelling of 164685973 in words is "one hundred sixty-four million, six hundred eighty-five thousand, nine hundred seventy-three".