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36976561 is a prime number
BaseRepresentation
bin1000110100001…
…1011110110001
32120120121022021
42031003132301
533431222221
63400311441
7626203246
oct215033661
976517267
1036976561
1119966046
1210472581
13787862b
144ca75cd
1533a6041
hex23437b1

36976561 has 2 divisors, whose sum is σ = 36976562. Its totient is φ = 36976560.

The previous prime is 36976559. The next prime is 36976607. The reversal of 36976561 is 16567963.

36976561 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., 27248400 + 9728161 = 5220^2 + 3119^2 .

It is a cyclic number.

It is not a de Polignac number, because 36976561 - 21 = 36976559 is a prime.

Together with 36976559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36976361) 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, 18488280 + 18488281.

It is an arithmetic number, because the mean of its divisors is an integer number (18488281).

Almost surely, 236976561 is an apocalyptic number.

It is an amenable number.

36976561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36976561 is an equidigital number, since it uses as much as digits as its factorization.

36976561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 43.

The square root of 36976561 is about 6080.8355511393. The cubic root of 36976561 is about 333.1518063841.

The spelling of 36976561 in words is "thirty-six million, nine hundred seventy-six thousand, five hundred sixty-one".