Search a number
-
+
10577921 is a prime number
BaseRepresentation
bin101000010110…
…100000000001
3201220102011212
4220112200001
510201443141
61014415505
7155624264
oct50264001
921812155
1010577921
115a75392
123661595
132264933
141594cdb
15dde2eb
hexa16801

10577921 has 2 divisors, whose sum is σ = 10577922. Its totient is φ = 10577920.

The previous prime is 10577911. The next prime is 10577939. The reversal of 10577921 is 12977501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5452225 + 5125696 = 2335^2 + 2264^2 .

It is an emirp because it is prime and its reverse (12977501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10577921 - 222 = 6383617 is a prime.

It is a super-2 number, since 2×105779212 = 223784825364482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10577911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288960 + 5288961.

It is an arithmetic number, because the mean of its divisors is an integer number (5288961).

Almost surely, 210577921 is an apocalyptic number.

It is an amenable number.

10577921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577921 is an equidigital number, since it uses as much as digits as its factorization.

10577921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 10577921 is about 3252.3715962356. The cubic root of 10577921 is about 219.5162995560.

The spelling of 10577921 in words is "ten million, five hundred seventy-seven thousand, nine hundred twenty-one".