48677 has 2 divisors, whose sum is σ = 48678. Its totient is φ = 48676.

The previous prime is 48673. The next prime is 48679. The reversal of 48677 is 77684.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 6241 = 206^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 48677 - 2² = 48673 is a prime.

Together with 48679, it forms a pair of twin primes.

It is a Chen 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 (48673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24338 + 24339.

It is an arithmetic number, because the mean of its divisors is an integer number (24339).

2⁴⁸⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

48677 is a deficient number, since it is larger than the sum of its proper divisors (1).

48677 is an equidigital number, since it uses as much as digits as its factorization.

48677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408, while the sum is 32.

The square root of 48677 is about 220.6286472786. The cubic root of 48677 is about 36.5124746252.

Adding to 48677 its product of digits (9408), we get a palindrome (58085).

The spelling of 48677 in words is "forty-eight thousand, six hundred seventy-seven".