Search a number
-
+
407665381 is a prime number
BaseRepresentation
bin11000010011000…
…111101011100101
31001102002112202211
4120103013223211
51313330243011
6104241403421
713050045544
oct3023075345
91042075684
10407665381
1119a131042
12b4639571
13665c6626
143c1dc15b
1525bc9b21
hex184c7ae5

407665381 has 2 divisors, whose sum is σ = 407665382. Its totient is φ = 407665380.

The previous prime is 407665369. The next prime is 407665393. The reversal of 407665381 is 183566704.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (407665369) and next prime (407665393).

It can be written as a sum of positive squares in only one way, i.e., 295496100 + 112169281 = 17190^2 + 10591^2 .

It is a cyclic number.

It is not a de Polignac number, because 407665381 - 219 = 407141093 is a prime.

It is a super-2 number, since 2×4076653812 = 332382125731750322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407665081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203832690 + 203832691.

It is an arithmetic number, because the mean of its divisors is an integer number (203832691).

Almost surely, 2407665381 is an apocalyptic number.

It is an amenable number.

407665381 is a deficient number, since it is larger than the sum of its proper divisors (1).

407665381 is an equidigital number, since it uses as much as digits as its factorization.

407665381 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 40.

The square root of 407665381 is about 20190.7251231847. The cubic root of 407665381 is about 741.4831351510.

The spelling of 407665381 in words is "four hundred seven million, six hundred sixty-five thousand, three hundred eighty-one".