Search a number
-
+
164846081 is a prime number
BaseRepresentation
bin10011101001101…
…01101000000001
3102111012001022102
421310311220001
5314200033311
624205120145
74041111551
oct1164655001
9374161272
10164846081
1185062334
1247259055
13281c947a
1417c71161
15e71343b
hex9d35a01

164846081 has 2 divisors, whose sum is σ = 164846082. Its totient is φ = 164846080.

The previous prime is 164846069. The next prime is 164846089. The reversal of 164846081 is 180648461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123565456 + 41280625 = 11116^2 + 6425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164846081 is a prime.

It is a super-2 number, since 2×1648460812 = 54348460842117122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164846089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82423040 + 82423041.

It is an arithmetic number, because the mean of its divisors is an integer number (82423041).

Almost surely, 2164846081 is an apocalyptic number.

It is an amenable number.

164846081 is a deficient number, since it is larger than the sum of its proper divisors (1).

164846081 is an equidigital number, since it uses as much as digits as its factorization.

164846081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 164846081 is about 12839.2398918316. The cubic root of 164846081 is about 548.3100535094.

The spelling of 164846081 in words is "one hundred sixty-four million, eight hundred forty-six thousand, eighty-one".