Search a number
-
+
37313681 is a prime number
BaseRepresentation
bin1000111001010…
…1110010010001
32121012201202012
42032111302101
534023014211
63411432305
7632106146
oct216256221
977181665
1037313681
111a076359
12105b5695
137965c02
144d543cd
153420d8b
hex2395c91

37313681 has 2 divisors, whose sum is σ = 37313682. Its totient is φ = 37313680.

The previous prime is 37313641. The next prime is 37313699. The reversal of 37313681 is 18631373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29333056 + 7980625 = 5416^2 + 2825^2 .

It is an emirp because it is prime and its reverse (18631373) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37313681 - 210 = 37312657 is a prime.

It is a super-2 number, since 2×373136812 = 2784621579539522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37313611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18656840 + 18656841.

It is an arithmetic number, because the mean of its divisors is an integer number (18656841).

Almost surely, 237313681 is an apocalyptic number.

It is an amenable number.

37313681 is a deficient number, since it is larger than the sum of its proper divisors (1).

37313681 is an equidigital number, since it uses as much as digits as its factorization.

37313681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 37313681 is about 6108.4925308950. The cubic root of 37313681 is about 334.1612073936.

The spelling of 37313681 in words is "thirty-seven million, three hundred thirteen thousand, six hundred eighty-one".