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164467601 is a prime number
BaseRepresentation
bin10011100110110…
…01001110010001
3102110110211010122
421303121032101
5314100430401
624153040025
74034644244
oct1163311621
9373424118
10164467601
1184923a41
12470b6015
13280c610c
1417bb325b
15e68b21b
hex9cd9391

164467601 has 2 divisors, whose sum is σ = 164467602. Its totient is φ = 164467600.

The previous prime is 164467579. The next prime is 164467603. The reversal of 164467601 is 106764461.

164467601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154380625 + 10086976 = 12425^2 + 3176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164467601 is a prime.

Together with 164467603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164467603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82233800 + 82233801.

It is an arithmetic number, because the mean of its divisors is an integer number (82233801).

Almost surely, 2164467601 is an apocalyptic number.

It is an amenable number.

164467601 is a deficient number, since it is larger than the sum of its proper divisors (1).

164467601 is an equidigital number, since it uses as much as digits as its factorization.

164467601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 164467601 is about 12824.4922316636. The cubic root of 164467601 is about 547.8900993047.

The spelling of 164467601 in words is "one hundred sixty-four million, four hundred sixty-seven thousand, six hundred one".