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164721409 is a prime number
BaseRepresentation
bin10011101000101…
…11001100000001
3102110221201021221
421310113030001
5314132041114
624202315041
74040052226
oct1164271401
9373851257
10164721409
1184a876a6
12471b8a81
13281847b8
1417c3b94d
15e6db524
hex9d17301

164721409 has 2 divisors, whose sum is σ = 164721410. Its totient is φ = 164721408.

The previous prime is 164721407. The next prime is 164721463. The reversal of 164721409 is 904127461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141681409 + 23040000 = 11903^2 + 4800^2 .

It is a cyclic number.

It is not a de Polignac number, because 164721409 - 21 = 164721407 is a prime.

Together with 164721407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (164721407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82360704 + 82360705.

It is an arithmetic number, because the mean of its divisors is an integer number (82360705).

Almost surely, 2164721409 is an apocalyptic number.

It is an amenable number.

164721409 is a deficient number, since it is larger than the sum of its proper divisors (1).

164721409 is an equidigital number, since it uses as much as digits as its factorization.

164721409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 164721409 is about 12834.3838574355. The cubic root of 164721409 is about 548.1717908930.

The spelling of 164721409 in words is "one hundred sixty-four million, seven hundred twenty-one thousand, four hundred nine".