Search a number
-
+
37113389 is a prime number
BaseRepresentation
bin1000110110010…
…0111000101101
32120211112222222
42031210320231
534000112024
63403245125
7630313205
oct215447055
976745888
1037113389
1119a49925
12105197a5
1378c59b1
144d01405
1533d185e
hex2364e2d

37113389 has 2 divisors, whose sum is σ = 37113390. Its totient is φ = 37113388.

The previous prime is 37113379. The next prime is 37113407. The reversal of 37113389 is 98331173.

37113389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35010889 + 2102500 = 5917^2 + 1450^2 .

It is a cyclic number.

It is not a de Polignac number, because 37113389 - 28 = 37113133 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37113379) 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, 18556694 + 18556695.

It is an arithmetic number, because the mean of its divisors is an integer number (18556695).

Almost surely, 237113389 is an apocalyptic number.

It is an amenable number.

37113389 is a deficient number, since it is larger than the sum of its proper divisors (1).

37113389 is an equidigital number, since it uses as much as digits as its factorization.

37113389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The square root of 37113389 is about 6092.0759187653. The cubic root of 37113389 is about 333.5622320024.

The spelling of 37113389 in words is "thirty-seven million, one hundred thirteen thousand, three hundred eighty-nine".