Search a number
-
+
36738553 is a prime number
BaseRepresentation
bin1000110000100…
…1010111111001
32120010111211011
42030021113321
533401113203
63351233521
7624162325
oct214112771
976114734
1036738553
1119813245
12103788a1
1377c41b7
144c44985
15335a76d
hex23095f9

36738553 has 2 divisors, whose sum is σ = 36738554. Its totient is φ = 36738552.

The previous prime is 36738551. The next prime is 36738629. The reversal of 36738553 is 35583763.

It is a happy number.

36738553 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., 30603024 + 6135529 = 5532^2 + 2477^2 .

It is a cyclic number.

It is not a de Polignac number, because 36738553 - 21 = 36738551 is a prime.

Together with 36738551, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36738551) 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, 18369276 + 18369277.

It is an arithmetic number, because the mean of its divisors is an integer number (18369277).

Almost surely, 236738553 is an apocalyptic number.

It is an amenable number.

36738553 is a deficient number, since it is larger than the sum of its proper divisors (1).

36738553 is an equidigital number, since it uses as much as digits as its factorization.

36738553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 40.

The square root of 36738553 is about 6061.2336203120. The cubic root of 36738553 is about 332.4354648905.

The spelling of 36738553 in words is "thirty-six million, seven hundred thirty-eight thousand, five hundred fifty-three".