Search a number
-
+
36977221 is a prime number
BaseRepresentation
bin1000110100001…
…1101001000101
32120120122012201
42031003221011
533431232341
63400314501
7626205211
oct215035105
976518181
1036977221
1119966596
1210472a31
137878a18
144ca7941
1533a6331
hex2343a45

36977221 has 2 divisors, whose sum is σ = 36977222. Its totient is φ = 36977220.

The previous prime is 36977219. The next prime is 36977243. The reversal of 36977221 is 12277963.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28740321 + 8236900 = 5361^2 + 2870^2 .

It is a cyclic number.

It is not a de Polignac number, because 36977221 - 21 = 36977219 is a prime.

Together with 36977219, 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 (36977321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18488610 + 18488611.

It is an arithmetic number, because the mean of its divisors is an integer number (18488611).

Almost surely, 236977221 is an apocalyptic number.

It is an amenable number.

36977221 is a deficient number, since it is larger than the sum of its proper divisors (1).

36977221 is an equidigital number, since it uses as much as digits as its factorization.

36977221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 37.

The square root of 36977221 is about 6080.8898197550. The cubic root of 36977221 is about 333.1537885306.

The spelling of 36977221 in words is "thirty-six million, nine hundred seventy-seven thousand, two hundred twenty-one".