Search a number
-
+
10037561 is a prime number
BaseRepresentation
bin100110010010…
…100100111001
3200212221221112
4212102210321
510032200221
6555050105
7151214012
oct46224471
920787845
1010037561
115736406
123440935
1321059b1
141494009
15d3415b
hex992939

10037561 has 2 divisors, whose sum is σ = 10037562. Its totient is φ = 10037560.

The previous prime is 10037551. The next prime is 10037593. The reversal of 10037561 is 16573001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6996025 + 3041536 = 2645^2 + 1744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10037561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10037501) 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, 5018780 + 5018781.

It is an arithmetic number, because the mean of its divisors is an integer number (5018781).

Almost surely, 210037561 is an apocalyptic number.

It is an amenable number.

10037561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037561 is an equidigital number, since it uses as much as digits as its factorization.

10037561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 10037561 is about 3168.2110093868. The cubic root of 10037561 is about 215.7128743843.

The spelling of 10037561 in words is "ten million, thirty-seven thousand, five hundred sixty-one".