48961 has 4 divisors (see below), whose sum is σ = 53424. Its totient is φ = 44500.

The previous prime is 48953. The next prime is 48973. The reversal of 48961 is 16984.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 48961 - 2³ = 48953 is a prime.

It is a Duffinian number.

48961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (48991) 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, 2215 + ... + 2236.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2⁴⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

48961 is a deficient number, since it is larger than the sum of its proper divisors (4463).

48961 is a wasteful number, since it uses less digits than its factorization.

48961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462.

The product of its digits is 1728, while the sum is 28.

The square root of 48961 is about 221.2713266558. The cubic root of 48961 is about 36.5833461613.

The spelling of 48961 in words is "forty-eight thousand, nine hundred sixty-one".