48985 has 8 divisors (see below), whose sum is σ = 59976. Its totient is φ = 38400.

The previous prime is 48973. The next prime is 48989. The reversal of 48985 is 58984.

48985 = 156² + 157².

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 33856 = 123^2 + 184^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48985 - 2⁵ = 48953 is a prime.

It is a Duffinian 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 48985.

It is not an unprimeable number, because it can be changed into a prime (48989) 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 7 ways as a sum of consecutive naturals, for example, 435 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (7497).

2⁴⁸⁹⁸⁵ is an apocalyptic number.

48985 is the 157-th centered square number.

It is an amenable number.

48985 is a deficient number, since it is larger than the sum of its proper divisors (10991).

48985 is a wasteful number, since it uses less digits than its factorization.

48985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its digits is 11520, while the sum is 34.

The square root of 48985 is about 221.3255520721. The cubic root of 48985 is about 36.5893227337.

Subtracting 48985 from its reverse (58984), we obtain a palindrome (9999).

The spelling of 48985 in words is "forty-eight thousand, nine hundred eighty-five".