Search a number
-
+
10217477 is a prime number
BaseRepresentation
bin100110111110…
…100000000101
3201020002202002
4212332200011
510103424402
61002555045
7152563364
oct46764005
921202662
1010217477
1158495a6
123508a85
13216985a
1414dd7db
15d6c602
hex9be805

10217477 has 2 divisors, whose sum is σ = 10217478. Its totient is φ = 10217476.

The previous prime is 10217453. The next prime is 10217479. The reversal of 10217477 is 77471201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5612161 + 4605316 = 2369^2 + 2146^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10217477 is a prime.

Together with 10217479, 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 (10217479) 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, 5108738 + 5108739.

It is an arithmetic number, because the mean of its divisors is an integer number (5108739).

Almost surely, 210217477 is an apocalyptic number.

It is an amenable number.

10217477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217477 is an equidigital number, since it uses as much as digits as its factorization.

10217477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 10217477 is about 3196.4788439782. The cubic root of 10217477 is about 216.9940819668.

Adding to 10217477 its reverse (77471201), we get a palindrome (87688678).

The spelling of 10217477 in words is "ten million, two hundred seventeen thousand, four hundred seventy-seven".