Search a number
-
+
37036381 is a prime number
BaseRepresentation
bin1000110101001…
…0000101011101
32120200122100211
42031102011131
533440131011
63401452421
7626542534
oct215220535
976618324
1037036381
11199a6a88
12104a1111
137899925
144cc131b
1533b8b21
hex235215d

37036381 has 2 divisors, whose sum is σ = 37036382. Its totient is φ = 37036380.

The previous prime is 37036357. The next prime is 37036403. The reversal of 37036381 is 18363073.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36711481 + 324900 = 6059^2 + 570^2 .

It is a cyclic number.

It is not a de Polignac number, because 37036381 - 27 = 37036253 is a prime.

It is a super-2 number, since 2×370363812 = 2743387035154322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37036481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18518190 + 18518191.

It is an arithmetic number, because the mean of its divisors is an integer number (18518191).

Almost surely, 237036381 is an apocalyptic number.

It is an amenable number.

37036381 is a deficient number, since it is larger than the sum of its proper divisors (1).

37036381 is an equidigital number, since it uses as much as digits as its factorization.

37036381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 37036381 is about 6085.7522953206. The cubic root of 37036381 is about 333.3313652106.

The spelling of 37036381 in words is "thirty-seven million, thirty-six thousand, three hundred eighty-one".