48361 has 4 divisors (see below), whose sum is σ = 48852. Its totient is φ = 47872.

The previous prime is 48353. The next prime is 48371. The reversal of 48361 is 16384.

48361 = 155² + 156².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 24025 + 24336 = 155^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 48361 - 2³ = 48353 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (12213).

2⁴⁸³⁶¹ is an apocalyptic number.

48361 is the 156-th centered square number.

It is an amenable number.

48361 is a deficient number, since it is larger than the sum of its proper divisors (491).

48361 is a wasteful number, since it uses less digits than its factorization.

48361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490.

The product of its digits is 576, while the sum is 22.

The square root of 48361 is about 219.9113457737. The cubic root of 48361 is about 36.4332928100.

The spelling of 48361 in words is "forty-eight thousand, three hundred sixty-one".