48953 has 2 divisors, whose sum is σ = 48954. Its totient is φ = 48952.

The previous prime is 48947. The next prime is 48973. The reversal of 48953 is 35984.

48953 is nontrivially palindromic in base 5.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 7744 = 203^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 48953 - 2⁶ = 48889 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48953.

It is not a weakly prime, because it can be changed into another prime (48973) 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, 24476 + 24477.

It is an arithmetic number, because the mean of its divisors is an integer number (24477).

2⁴⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

48953 is a deficient number, since it is larger than the sum of its proper divisors (1).

48953 is an equidigital number, since it uses as much as digits as its factorization.

48953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 29.

The square root of 48953 is about 221.2532485637. The cubic root of 48953 is about 36.5813535365.

It can be divided in two parts, 48 and 953, that added together give a palindrome (1001).

The spelling of 48953 in words is "forty-eight thousand, nine hundred fifty-three".