Search a number
-
+
164585461 is a prime number
BaseRepresentation
bin10011100111101…
…01111111110101
3102110200210210211
421303311333311
5314113213321
624155345421
74035644665
oct1163657765
9373623724
10164585461
11849a4547
1247152271
1328137961
1417c041a5
15e6b10e1
hex9cf5ff5

164585461 has 2 divisors, whose sum is σ = 164585462. Its totient is φ = 164585460.

The previous prime is 164585437. The next prime is 164585513.

164585461 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121682961 + 42902500 = 11031^2 + 6550^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164585461 - 29 = 164584949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164585261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82292730 + 82292731.

It is an arithmetic number, because the mean of its divisors is an integer number (82292731).

Almost surely, 2164585461 is an apocalyptic number.

It is an amenable number.

164585461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164585461 is an equidigital number, since it uses as much as digits as its factorization.

164585461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 115200, while the sum is 40.

The square root of 164585461 is about 12829.0865224302. The cubic root of 164585461 is about 548.0209435315.

The spelling of 164585461 in words is "one hundred sixty-four million, five hundred eighty-five thousand, four hundred sixty-one".