Search a number
-
+
37040797 is a prime number
BaseRepresentation
bin1000110101001…
…1001010011101
32120200212102101
42031103022131
533440301142
63401525101
7626561443
oct215231235
976625371
1037040797
11199aa332
12104a3791
13789b941
144cc2b93
1533ba0b7
hex235329d

37040797 has 2 divisors, whose sum is σ = 37040798. Its totient is φ = 37040796.

The previous prime is 37040777. The next prime is 37040813. The reversal of 37040797 is 79704073.

37040797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32936121 + 4104676 = 5739^2 + 2026^2 .

It is a cyclic number.

It is not a de Polignac number, because 37040797 - 27 = 37040669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37040777) 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, 18520398 + 18520399.

It is an arithmetic number, because the mean of its divisors is an integer number (18520399).

Almost surely, 237040797 is an apocalyptic number.

It is an amenable number.

37040797 is a deficient number, since it is larger than the sum of its proper divisors (1).

37040797 is an equidigital number, since it uses as much as digits as its factorization.

37040797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 37.

The square root of 37040797 is about 6086.1150991417. The cubic root of 37040797 is about 333.3446128405.

The spelling of 37040797 in words is "thirty-seven million, forty thousand, seven hundred ninety-seven".