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164582909 is a prime number
BaseRepresentation
bin10011100111101…
…01010111111101
3102110200200022022
421303311113331
5314113123114
624155325525
74035634361
oct1163652775
9373620268
10164582909
11849a2637
12471508a5
132813674a
1417c032a1
15e6b048e
hex9cf55fd

164582909 has 2 divisors, whose sum is σ = 164582910. Its totient is φ = 164582908.

The previous prime is 164582863. The next prime is 164582939. The reversal of 164582909 is 909285461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93180409 + 71402500 = 9653^2 + 8450^2 .

It is a cyclic number.

It is not a de Polignac number, because 164582909 - 220 = 163534333 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164582909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164582939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82291454 + 82291455.

It is an arithmetic number, because the mean of its divisors is an integer number (82291455).

Almost surely, 2164582909 is an apocalyptic number.

It is an amenable number.

164582909 is a deficient number, since it is larger than the sum of its proper divisors (1).

164582909 is an equidigital number, since it uses as much as digits as its factorization.

164582909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 164582909 is about 12828.9870605594. The cubic root of 164582909 is about 548.0181110483.

The spelling of 164582909 in words is "one hundred sixty-four million, five hundred eighty-two thousand, nine hundred nine".