47681 has 2 divisors, whose sum is σ = 47682. Its totient is φ = 47680.

The previous prime is 47659. The next prime is 47699. The reversal of 47681 is 18674.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 13456 = 185^2 + 116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47681 is a prime.

It is a super-2 number, since 2×47681² = 4546955522, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47681.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47681.

It is not a weakly prime, because it can be changed into another prime (47381) 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, 23840 + 23841.

It is an arithmetic number, because the mean of its divisors is an integer number (23841).

2⁴⁷⁶⁸¹ is an apocalyptic number.

It is an amenable number.

47681 is a deficient number, since it is larger than the sum of its proper divisors (1).

47681 is an equidigital number, since it uses as much as digits as its factorization.

47681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 47681 is about 218.3597948341. The cubic root of 47681 is about 36.2617243091.

The spelling of 47681 in words is "forty-seven thousand, six hundred eighty-one".