Search a number
-
+
13984961 is a prime number
BaseRepresentation
bin110101010110…
…010011000001
3222022111202112
4311112103001
512040004321
61215425105
7226604324
oct65262301
928274675
1013984961
117992121
124825195
132b88633
141c007bb
151363a5b
hexd564c1

13984961 has 2 divisors, whose sum is σ = 13984962. Its totient is φ = 13984960.

The previous prime is 13984913. The next prime is 13984979. The reversal of 13984961 is 16948931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12816400 + 1168561 = 3580^2 + 1081^2 .

It is a cyclic number.

It is not a de Polignac number, because 13984961 - 218 = 13722817 is a prime.

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 (13984981) 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, 6992480 + 6992481.

It is an arithmetic number, because the mean of its divisors is an integer number (6992481).

Almost surely, 213984961 is an apocalyptic number.

It is an amenable number.

13984961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13984961 is an equidigital number, since it uses as much as digits as its factorization.

13984961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 41.

The square root of 13984961 is about 3739.6471758710. The cubic root of 13984961 is about 240.9278951890.

The spelling of 13984961 in words is "thirteen million, nine hundred eighty-four thousand, nine hundred sixty-one".