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164523629 is a prime number
BaseRepresentation
bin10011100111001…
…10111001101101
3102110120122222202
421303212321231
5314104224004
624154151245
74035266504
oct1163467155
9373518882
10164523629
1184962046
1247122525
132811577a
1417bc983b
15e69cb1e
hex9ce6e6d

164523629 has 2 divisors, whose sum is σ = 164523630. Its totient is φ = 164523628.

The previous prime is 164523617. The next prime is 164523631. The reversal of 164523629 is 926325461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144048004 + 20475625 = 12002^2 + 4525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164523629 is a prime.

Together with 164523631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164523592 and 164523601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164553629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82261814 + 82261815.

It is an arithmetic number, because the mean of its divisors is an integer number (82261815).

Almost surely, 2164523629 is an apocalyptic number.

It is an amenable number.

164523629 is a deficient number, since it is larger than the sum of its proper divisors (1).

164523629 is an equidigital number, since it uses as much as digits as its factorization.

164523629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 38.

The square root of 164523629 is about 12826.6764596290. The cubic root of 164523629 is about 547.9523075070.

The spelling of 164523629 in words is "one hundred sixty-four million, five hundred twenty-three thousand, six hundred twenty-nine".