48661 has 2 divisors, whose sum is σ = 48662. Its totient is φ = 48660.

The previous prime is 48649. The next prime is 48673. The reversal of 48661 is 16684.

It is a balanced prime because it is at equal distance from previous prime (48649) and next prime (48673).

It can be written as a sum of positive squares in only one way, i.e., 37636 + 11025 = 194^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 48661 - 2⁷ = 48533 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24330 + 24331.

It is an arithmetic number, because the mean of its divisors is an integer number (24331).

2⁴⁸⁶⁶¹ is an apocalyptic number.

It is an amenable number.

48661 is a deficient number, since it is larger than the sum of its proper divisors (1).

48661 is an equidigital number, since it uses as much as digits as its factorization.

48661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 25.

The square root of 48661 is about 220.5923842747. The cubic root of 48661 is about 36.5084736691.

It can be divided in two parts, 486 and 61, that multiplied together give a triangular number (29646 = T₂₄₃).

The spelling of 48661 in words is "forty-eight thousand, six hundred sixty-one".