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406084241 is a prime number
BaseRepresentation
bin11000001101000…
…101101010010001
31001022010012212002
4120031011222101
51312424143431
6104143443345
713030442033
oct3015055221
91038105762
10406084241
11199251112
12b3bb6555
1366191a44
143bd09c53
15259b63cb
hex18345a91

406084241 has 2 divisors, whose sum is σ = 406084242. Its totient is φ = 406084240.

The previous prime is 406084201. The next prime is 406084243. The reversal of 406084241 is 142480604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403849216 + 2235025 = 20096^2 + 1495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406084241 is a prime.

Together with 406084243, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p21643391 and since 406084241 and 21643391 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (406084243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203042120 + 203042121.

It is an arithmetic number, because the mean of its divisors is an integer number (203042121).

Almost surely, 2406084241 is an apocalyptic number.

It is an amenable number.

406084241 is a deficient number, since it is larger than the sum of its proper divisors (1).

406084241 is an equidigital number, since it uses as much as digits as its factorization.

406084241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 406084241 is about 20151.5319765024. The cubic root of 406084241 is about 740.5232730631.

The spelling of 406084241 in words is "four hundred six million, eighty-four thousand, two hundred forty-one".