Search a number
-
+
2137237 is a prime number
BaseRepresentation
bin1000001001110010010101
311000120201221
420021302111
51021342422
6113450341
724111004
oct10116225
94016657
102137237
11122a813
128709b1
1359aa4b
143d8c3b
152c33c7
hex209c95

2137237 has 2 divisors, whose sum is σ = 2137238. Its totient is φ = 2137236.

The previous prime is 2137211. The next prime is 2137243. The reversal of 2137237 is 7327312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099601 + 37636 = 1449^2 + 194^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2137237 is a prime.

It is a d-powerful number, because it can be written as 25 + 1 + 39 + 73 + 221 + 39 + 73 .

2137237 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068618 + 1068619.

It is an arithmetic number, because the mean of its divisors is an integer number (1068619).

22137237 is an apocalyptic number.

It is an amenable number.

2137237 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137237 is an equidigital number, since it uses as much as digits as its factorization.

2137237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 25.

The square root of 2137237 is about 1461.9292048523. The cubic root of 2137237 is about 128.8103898682.

The spelling of 2137237 in words is "two million, one hundred thirty-seven thousand, two hundred thirty-seven".