Search a number
-
+
164312441 is a prime number
BaseRepresentation
bin10011100101100…
…11010101111001
3102110011221021222
421302303111321
5314030444231
624145441425
74033430006
oct1162632571
9373157258
10164312441
1184828407
1247040275
13280705c7
1417b728ad
15e65a27b
hex9cb3579

164312441 has 2 divisors, whose sum is σ = 164312442. Its totient is φ = 164312440.

The previous prime is 164312419. The next prime is 164312539. The reversal of 164312441 is 144213461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151388416 + 12924025 = 12304^2 + 3595^2 .

It is a cyclic number.

It is not a de Polignac number, because 164312441 - 218 = 164050297 is a prime.

It is a Chen prime.

It is equal to p9202625 and since 164312441 and 9202625 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 164312441.

It is not a weakly prime, because it can be changed into another prime (164312641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82156220 + 82156221.

It is an arithmetic number, because the mean of its divisors is an integer number (82156221).

Almost surely, 2164312441 is an apocalyptic number.

It is an amenable number.

164312441 is a deficient number, since it is larger than the sum of its proper divisors (1).

164312441 is an equidigital number, since it uses as much as digits as its factorization.

164312441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 26.

The square root of 164312441 is about 12818.4414419226. The cubic root of 164312441 is about 547.7177505168.

The spelling of 164312441 in words is "one hundred sixty-four million, three hundred twelve thousand, four hundred forty-one".