Search a number
-
+
36636569 is a prime number
BaseRepresentation
bin1000101111000…
…0011110011001
32112221022220222
42023300132121
533334332234
63345125425
7623256104
oct213603631
975838828
1036636569
1119753662
1210329875
137789958
144c1973b
15333a42e
hex22f0799

36636569 has 2 divisors, whose sum is σ = 36636570. Its totient is φ = 36636568.

The previous prime is 36636557. The next prime is 36636571. The reversal of 36636569 is 96563663.

36636569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29560969 + 7075600 = 5437^2 + 2660^2 .

It is a cyclic number.

It is not a de Polignac number, because 36636569 - 224 = 19859353 is a prime.

It is a super-2 number, since 2×366365692 = 2684476376183522, which contains 22 as substring.

Together with 36636571, 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 (36636169) 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, 18318284 + 18318285.

It is an arithmetic number, because the mean of its divisors is an integer number (18318285).

Almost surely, 236636569 is an apocalyptic number.

It is an amenable number.

36636569 is a deficient number, since it is larger than the sum of its proper divisors (1).

36636569 is an equidigital number, since it uses as much as digits as its factorization.

36636569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 524880, while the sum is 44.

The square root of 36636569 is about 6052.8149649564. The cubic root of 36636569 is about 332.1275729066.

The spelling of 36636569 in words is "thirty-six million, six hundred thirty-six thousand, five hundred sixty-nine".