48049 has 2 divisors, whose sum is σ = 48050. Its totient is φ = 48048.

The previous prime is 48029. The next prime is 48073. The reversal of 48049 is 94084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 17424 = 175^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 48049 - 2⁵ = 48017 is a prime.

48049 is a lucky number.

It is a nialpdrome in base 11 and base 16.

It is a zygodrome in base 11.

It is not a weakly prime, because it can be changed into another prime (48029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24024 + 24025.

It is an arithmetic number, because the mean of its divisors is an integer number (24025).

2⁴⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

48049 is a deficient number, since it is larger than the sum of its proper divisors (1).

48049 is an equidigital number, since it uses as much as digits as its factorization.

48049 is an evil number, because the sum of its binary digits is even.

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

The square root of 48049 is about 219.2008211663. The cubic root of 48049 is about 36.3547741661.

It can be divided in two parts, 480 and 49, that added together give a square (529 = 23²).

The spelling of 48049 in words is "forty-eight thousand, forty-nine".