Search a number
-
+
36084821 is a prime number
BaseRepresentation
bin1000100110100…
…1110001010101
32111220022001212
42021221301111
533214203241
63325231205
7615500363
oct211516125
974808055
1036084821
1119407073
1210102505
137625786
144b14633
15327bbeb
hex2269c55

36084821 has 2 divisors, whose sum is σ = 36084822. Its totient is φ = 36084820.

The previous prime is 36084803. The next prime is 36084823. The reversal of 36084821 is 12848063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34939921 + 1144900 = 5911^2 + 1070^2 .

It is a cyclic number.

It is not a de Polignac number, because 36084821 - 26 = 36084757 is a prime.

It is a super-2 number, since 2×360848212 = 2604228613204082, which contains 22 as substring.

Together with 36084823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36084823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18042410 + 18042411.

It is an arithmetic number, because the mean of its divisors is an integer number (18042411).

Almost surely, 236084821 is an apocalyptic number.

It is an amenable number.

36084821 is a deficient number, since it is larger than the sum of its proper divisors (1).

36084821 is an equidigital number, since it uses as much as digits as its factorization.

36084821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 36084821 is about 6007.0642580216. The cubic root of 36084821 is about 330.4518481258.

The spelling of 36084821 in words is "thirty-six million, eighty-four thousand, eight hundred twenty-one".