Search a number
-
+
36237281 is a prime number
BaseRepresentation
bin1000101000111…
…0111111100001
32112012001012112
42022032333201
533234043111
63332405105
7620004023
oct212167741
975161175
1036237281
1119500673
1210176795
137679ca2
144b54013
1532abe8b
hex228efe1

36237281 has 2 divisors, whose sum is σ = 36237282. Its totient is φ = 36237280.

The previous prime is 36237263. The next prime is 36237283. The reversal of 36237281 is 18273263.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35808256 + 429025 = 5984^2 + 655^2 .

It is an emirp because it is prime and its reverse (18273263) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36237281 is a prime.

It is a super-2 number, since 2×362372812 = 2626281068545922, which contains 22 as substring.

Together with 36237283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36237283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18118640 + 18118641.

It is an arithmetic number, because the mean of its divisors is an integer number (18118641).

Almost surely, 236237281 is an apocalyptic number.

It is an amenable number.

36237281 is a deficient number, since it is larger than the sum of its proper divisors (1).

36237281 is an equidigital number, since it uses as much as digits as its factorization.

36237281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 32.

The square root of 36237281 is about 6019.7409412698. The cubic root of 36237281 is about 330.9165855591.

The spelling of 36237281 in words is "thirty-six million, two hundred thirty-seven thousand, two hundred eighty-one".