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164525593 is a prime number
BaseRepresentation
bin10011100111001…
…11011000011001
3102110120202200111
421303213120121
5314104304333
624154204321
74035305311
oct1163473031
9373522614
10164525593
1184963571
12471236a1
132811662b
1417bca441
15e69d4cd
hex9ce7619

164525593 has 2 divisors, whose sum is σ = 164525594. Its totient is φ = 164525592.

The previous prime is 164525591. The next prime is 164525657. The reversal of 164525593 is 395525461.

It is the 5237-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162129289 + 2396304 = 12733^2 + 1548^2 .

It is a cyclic number.

It is not a de Polignac number, because 164525593 - 21 = 164525591 is a prime.

Together with 164525591, it forms a pair of twin primes.

It is equal to p9213898 and since 164525593 and 9213898 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (164525591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82262796 + 82262797.

It is an arithmetic number, because the mean of its divisors is an integer number (82262797).

Almost surely, 2164525593 is an apocalyptic number.

It is an amenable number.

164525593 is a deficient number, since it is larger than the sum of its proper divisors (1).

164525593 is an equidigital number, since it uses as much as digits as its factorization.

164525593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162000, while the sum is 40.

The square root of 164525593 is about 12826.7530185936. The cubic root of 164525593 is about 547.9544878909.

The spelling of 164525593 in words is "one hundred sixty-four million, five hundred twenty-five thousand, five hundred ninety-three".