48337 has 2 divisors, whose sum is σ = 48338. Its totient is φ = 48336.

The previous prime is 48313. The next prime is 48341. The reversal of 48337 is 73384.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 1681 = 216^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 48337 - 2¹⁵ = 15569 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (48397) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24168 + 24169.

It is an arithmetic number, because the mean of its divisors is an integer number (24169).

2⁴⁸³³⁷ is an apocalyptic number.

It is an amenable number.

48337 is a deficient number, since it is larger than the sum of its proper divisors (1).

48337 is an equidigital number, since it uses as much as digits as its factorization.

48337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 25.

The square root of 48337 is about 219.8567715582. The cubic root of 48337 is about 36.4272649245.

It can be divided in two parts, 483 and 37, that multiplied together give a palindrome (17871).

The spelling of 48337 in words is "forty-eight thousand, three hundred thirty-seven".