48807 has 24 divisors (see below), whose sum is σ = 84240. Its totient is φ = 26880.

The previous prime is 48799. The next prime is 48809. The reversal of 48807 is 70884.

It is a happy number.

It is not a de Polignac number, because 48807 - 2³ = 48799 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 48807.

It is not an unprimeable number, because it can be changed into a prime (48809) 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 in 23 ways as a sum of consecutive naturals, for example, 1669 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁴⁸⁸⁰⁷ is an apocalyptic number.

48807 is a deficient number, since it is larger than the sum of its proper divisors (35433).

48807 is a wasteful number, since it uses less digits than its factorization.

48807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 48807 is about 220.9230635312. The cubic root of 48807 is about 36.5449499380.

The spelling of 48807 in words is "forty-eight thousand, eight hundred seven".