Search a number
-
+
164205631 is a prime number
BaseRepresentation
bin10011100100110…
…01010000111111
3102102222111210001
421302121100333
5314014040011
624143255131
74032503422
oct1162312077
9372874701
10164205631
1184765137
1246baa4a7
1328033ac5
1417b459b9
15e6387c1
hex9c9943f

164205631 has 2 divisors, whose sum is σ = 164205632. Its totient is φ = 164205630.

The previous prime is 164205617. The next prime is 164205637. The reversal of 164205631 is 136502461.

It is a strong prime.

It is an emirp because it is prime and its reverse (136502461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164205631 - 223 = 155817023 is a prime.

It is a super-2 number, since 2×1642056312 = 53926978504216322, which contains 22 as substring.

It is equal to p9197002 and since 164205631 and 9197002 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164205631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164205637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82102815 + 82102816.

It is an arithmetic number, because the mean of its divisors is an integer number (82102816).

Almost surely, 2164205631 is an apocalyptic number.

164205631 is a deficient number, since it is larger than the sum of its proper divisors (1).

164205631 is an equidigital number, since it uses as much as digits as its factorization.

164205631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 164205631 is about 12814.2745015081. The cubic root of 164205631 is about 547.5990449310.

It can be divided in two parts, 164205 and 631, that added together give a square (164836 = 4062).

The spelling of 164205631 in words is "one hundred sixty-four million, two hundred five thousand, six hundred thirty-one".