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164436521 is a prime number
BaseRepresentation
bin10011100110100…
…01101000101001
3102110102020111112
421303101220221
5314043432041
624152240105
74034454524
oct1163215051
9373366445
10164436521
1184902657
12470a0035
13280b4c22
1417ba5bbb
15e681deb
hex9cd1a29

164436521 has 2 divisors, whose sum is σ = 164436522. Its totient is φ = 164436520.

The previous prime is 164436511. The next prime is 164436551. The reversal of 164436521 is 125634461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158482921 + 5953600 = 12589^2 + 2440^2 .

It is a cyclic number.

It is not a de Polignac number, because 164436521 - 218 = 164174377 is a prime.

It is a super-3 number, since 3×1644365213 (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164436511) 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, 82218260 + 82218261.

It is an arithmetic number, because the mean of its divisors is an integer number (82218261).

Almost surely, 2164436521 is an apocalyptic number.

It is an amenable number.

164436521 is a deficient number, since it is larger than the sum of its proper divisors (1).

164436521 is an equidigital number, since it uses as much as digits as its factorization.

164436521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 32.

The square root of 164436521 is about 12823.2804305295. The cubic root of 164436521 is about 547.8555849142.

The spelling of 164436521 in words is "one hundred sixty-four million, four hundred thirty-six thousand, five hundred twenty-one".