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164454461 is a prime number
BaseRepresentation
bin10011100110101…
…10000000111101
3102110110011002222
421303112000331
5314100020321
624152455125
74034561033
oct1163260075
9373404088
10164454461
1184915086
12470aa4a5
13280c0142
1417bac553
15e6873ab
hex9cd603d

164454461 has 2 divisors, whose sum is σ = 164454462. Its totient is φ = 164454460.

The previous prime is 164454421. The next prime is 164454469.

164454461 is nontrivially palindromic in base 10.

164454461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90820900 + 73633561 = 9530^2 + 8581^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164454461 - 26 = 164454397 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164454469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82227230 + 82227231.

It is an arithmetic number, because the mean of its divisors is an integer number (82227231).

Almost surely, 2164454461 is an apocalyptic number.

It is an amenable number.

164454461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164454461 is an equidigital number, since it uses as much as digits as its factorization.

164454461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46080, while the sum is 35.

The square root of 164454461 is about 12823.9799204459. The cubic root of 164454461 is about 547.8755078440.

The spelling of 164454461 in words is "one hundred sixty-four million, four hundred fifty-four thousand, four hundred sixty-one".