Search a number
-
+
1405137637 is a prime number
BaseRepresentation
bin101001111000000…
…1011001011100101
310121221000101110201
41103300023023211
510334203401022
6351232550501
746551321121
oct12360131345
93557011421
101405137637
11661188782
123326b2431
1319515a0b7
14d488c581
158355c127
hex53c0b2e5

1405137637 has 2 divisors, whose sum is σ = 1405137638. Its totient is φ = 1405137636.

The previous prime is 1405137541. The next prime is 1405137673. The reversal of 1405137637 is 7367315041.

Together with next prime (1405137673) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 863830881 + 541306756 = 29391^2 + 23266^2 .

It is a cyclic number.

It is not a de Polignac number, because 1405137637 - 27 = 1405137509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1405137596 and 1405137605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1405137697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702568818 + 702568819.

It is an arithmetic number, because the mean of its divisors is an integer number (702568819).

Almost surely, 21405137637 is an apocalyptic number.

It is an amenable number.

1405137637 is a deficient number, since it is larger than the sum of its proper divisors (1).

1405137637 is an equidigital number, since it uses as much as digits as its factorization.

1405137637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 1405137637 is about 37485.1655591915. The cubic root of 1405137637 is about 1120.0557043404.

The spelling of 1405137637 in words is "one billion, four hundred five million, one hundred thirty-seven thousand, six hundred thirty-seven".