47837 has 2 divisors, whose sum is σ = 47838. Its totient is φ = 47836.

The previous prime is 47819. The next prime is 47843. The reversal of 47837 is 73874.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 10201 = 194^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 47837 - 2⁸ = 47581 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47837.

It is not a weakly prime, because it can be changed into another prime (47807) 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, 23918 + 23919.

It is an arithmetic number, because the mean of its divisors is an integer number (23919).

2⁴⁷⁸³⁷ is an apocalyptic number.

It is an amenable number.

47837 is a deficient number, since it is larger than the sum of its proper divisors (1).

47837 is an equidigital number, since it uses as much as digits as its factorization.

47837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 29.

The square root of 47837 is about 218.7167117529. The cubic root of 47837 is about 36.3012276119.

It can be divided in two parts, 478 and 37, that added together give a palindrome (515).

The spelling of 47837 in words is "forty-seven thousand, eight hundred thirty-seven".