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164264021 is a prime number
BaseRepresentation
bin10011100101001…
…11100001010101
3102110002110212122
421302213201111
5314022422041
624144425325
74033135565
oct1162474125
9373073778
10164264021
11847a4a99
1247018245
132805455c
1417b5cda5
15e64ac4b
hex9ca7855

164264021 has 2 divisors, whose sum is σ = 164264022. Its totient is φ = 164264020.

The previous prime is 164264003. The next prime is 164264057. The reversal of 164264021 is 120462461.

164264021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112063396 + 52200625 = 10586^2 + 7225^2 .

It is a cyclic number.

It is not a de Polignac number, because 164264021 - 210 = 164262997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164254021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82132010 + 82132011.

It is an arithmetic number, because the mean of its divisors is an integer number (82132011).

Almost surely, 2164264021 is an apocalyptic number.

It is an amenable number.

164264021 is a deficient number, since it is larger than the sum of its proper divisors (1).

164264021 is an equidigital number, since it uses as much as digits as its factorization.

164264021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164264021 is about 12816.5526176113. The cubic root of 164264021 is about 547.6639442869.

The spelling of 164264021 in words is "one hundred sixty-four million, two hundred sixty-four thousand, twenty-one".