48761 has 2 divisors, whose sum is σ = 48762. Its totient is φ = 48760.

The previous prime is 48757. The next prime is 48767. The reversal of 48761 is 16784.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 361 = 220^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 48761 - 2² = 48757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 48761.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48767) 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, 24380 + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (24381).

2⁴⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

48761 is a deficient number, since it is larger than the sum of its proper divisors (1).

48761 is an equidigital number, since it uses as much as digits as its factorization.

48761 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 48761 is about 220.8189303479. The cubic root of 48761 is about 36.5334652732.

Adding to 48761 its product of digits (1344), we get a palindrome (50105).

The spelling of 48761 in words is "forty-eight thousand, seven hundred sixty-one".