Search a number
-
+
406587361 is a prime number
BaseRepresentation
bin11000001111000…
…000011111100001
31001100001210000011
4120033000133201
51313041243421
6104202324521
713034635615
oct3017003741
91040053004
10406587361
11199565114
12b41b9741
1366309a4b
143bddb345
1525a654e1
hex183c07e1

406587361 has 2 divisors, whose sum is σ = 406587362. Its totient is φ = 406587360.

The previous prime is 406587347. The next prime is 406587383. The reversal of 406587361 is 163785604.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 344807761 + 61779600 = 18569^2 + 7860^2 .

It is a cyclic number.

It is not a de Polignac number, because 406587361 - 25 = 406587329 is a prime.

It is not a weakly prime, because it can be changed into another prime (406587301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203293680 + 203293681.

It is an arithmetic number, because the mean of its divisors is an integer number (203293681).

Almost surely, 2406587361 is an apocalyptic number.

It is an amenable number.

406587361 is a deficient number, since it is larger than the sum of its proper divisors (1).

406587361 is an equidigital number, since it uses as much as digits as its factorization.

406587361 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 406587361 is about 20164.0115304470. The cubic root of 406587361 is about 740.8289717915.

The spelling of 406587361 in words is "four hundred six million, five hundred eighty-seven thousand, three hundred sixty-one".