Search a number
-
+
164267237 is a prime number
BaseRepresentation
bin10011100101010…
…00010011100101
3102110002122021202
421302220103211
5314023022422
624144452245
74033151141
oct1162502345
9373078252
10164267237
11847a7452
124701a085
1328055b64
1417b60221
15e64bb92
hex9ca84e5

164267237 has 2 divisors, whose sum is σ = 164267238. Its totient is φ = 164267236.

The previous prime is 164267221. The next prime is 164267249. The reversal of 164267237 is 732762461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108451396 + 55815841 = 10414^2 + 7471^2 .

It is a cyclic number.

It is not a de Polignac number, because 164267237 - 24 = 164267221 is a prime.

It is a super-2 number, since 2×1642672372 = 53967450303228338, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164267237.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164267297) 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, 82133618 + 82133619.

It is an arithmetic number, because the mean of its divisors is an integer number (82133619).

Almost surely, 2164267237 is an apocalyptic number.

It is an amenable number.

164267237 is a deficient number, since it is larger than the sum of its proper divisors (1).

164267237 is an equidigital number, since it uses as much as digits as its factorization.

164267237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 38.

The square root of 164267237 is about 12816.6780797522. The cubic root of 164267237 is about 547.6675183618.

The spelling of 164267237 in words is "one hundred sixty-four million, two hundred sixty-seven thousand, two hundred thirty-seven".