48577 has 4 divisors (see below), whose sum is σ = 50176. Its totient is φ = 46980.

The previous prime is 48571. The next prime is 48589. The reversal of 48577 is 77584.

It is a happy number.

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 48577 - 2⁷ = 48449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 1567 = 48577 / (4 + 8 + 5 + 7 + 7).

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48571) 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, 753 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (12544).

2⁴⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

48577 is a deficient number, since it is larger than the sum of its proper divisors (1599).

48577 is a wasteful number, since it uses less digits than its factorization.

48577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598.

The product of its digits is 7840, while the sum is 31.

The square root of 48577 is about 220.4019056179. The cubic root of 48577 is about 36.4874542484.

It can be divided in two parts, 48 and 577, that added together give a 4-th power (625 = 5⁴).

The spelling of 48577 in words is "forty-eight thousand, five hundred seventy-seven".