Search a number
-
+
37393361 is a prime number
BaseRepresentation
bin1000111010100…
…1001111010001
32121100210001022
42032221033101
534033041421
63413245225
7632560355
oct216511721
977323038
1037393361
111a120205
1210633815
137993265
144d75465
1534397ab
hex23a93d1

37393361 has 2 divisors, whose sum is σ = 37393362. Its totient is φ = 37393360.

The previous prime is 37393351. The next prime is 37393373. The reversal of 37393361 is 16339373.

It is a happy number.

37393361 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., 29637136 + 7756225 = 5444^2 + 2785^2 .

It is a cyclic number.

It is not a de Polignac number, because 37393361 - 26 = 37393297 is a prime.

It is not a weakly prime, because it can be changed into another prime (37393351) 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, 18696680 + 18696681.

It is an arithmetic number, because the mean of its divisors is an integer number (18696681).

Almost surely, 237393361 is an apocalyptic number.

It is an amenable number.

37393361 is a deficient number, since it is larger than the sum of its proper divisors (1).

37393361 is an equidigital number, since it uses as much as digits as its factorization.

37393361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30618, while the sum is 35.

The square root of 37393361 is about 6115.0111201861. The cubic root of 37393361 is about 334.3988953256.

The spelling of 37393361 in words is "thirty-seven million, three hundred ninety-three thousand, three hundred sixty-one".