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405324497 is a prime number
BaseRepresentation
bin11000001010001…
…100001011010001
31001020200121200102
4120022030023101
51312230340442
6104115302145
713021126034
oct3012141321
91036617612
10405324497
11198882326
12b38aa955
1365c86ca6
143bb8d01b
15258b6232
hex1828c2d1

405324497 has 2 divisors, whose sum is σ = 405324498. Its totient is φ = 405324496.

The previous prime is 405324487. The next prime is 405324499. The reversal of 405324497 is 794423504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400960576 + 4363921 = 20024^2 + 2089^2 .

It is a cyclic number.

It is not a de Polignac number, because 405324497 - 24 = 405324481 is a prime.

Together with 405324499, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405324497.

It is not a weakly prime, because it can be changed into another prime (405324499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202662248 + 202662249.

It is an arithmetic number, because the mean of its divisors is an integer number (202662249).

Almost surely, 2405324497 is an apocalyptic number.

It is an amenable number.

405324497 is a deficient number, since it is larger than the sum of its proper divisors (1).

405324497 is an equidigital number, since it uses as much as digits as its factorization.

405324497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 405324497 is about 20132.6723760161. The cubic root of 405324497 is about 740.0611691583.

The spelling of 405324497 in words is "four hundred five million, three hundred twenty-four thousand, four hundred ninety-seven".