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164151461 is a prime number
BaseRepresentation
bin10011100100011…
…00000010100101
3102102212202110202
421302030002211
5314010321321
624142200245
74032156455
oct1162140245
9372782422
10164151461
1184728471
1246b83085
1328015256
1417b2dd65
15e62770b
hex9c8c0a5

164151461 has 2 divisors, whose sum is σ = 164151462. Its totient is φ = 164151460.

The previous prime is 164151433. The next prime is 164151467.

It is a happy number.

164151461 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82700836 + 81450625 = 9094^2 + 9025^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164151461 - 214 = 164135077 is a prime.

It is a Chen prime.

It is equal to p9194141 and since 164151461 and 9194141 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164151467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82075730 + 82075731.

It is an arithmetic number, because the mean of its divisors is an integer number (82075731).

Almost surely, 2164151461 is an apocalyptic number.

It is an amenable number.

164151461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164151461 is an equidigital number, since it uses as much as digits as its factorization.

164151461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 29.

The square root of 164151461 is about 12812.1606686772. The cubic root of 164151461 is about 547.5388222647.

The spelling of 164151461 in words is "one hundred sixty-four million, one hundred fifty-one thousand, four hundred sixty-one".