48627 has 8 divisors (see below), whose sum is σ = 72080. Its totient is φ = 32400.

The previous prime is 48623. The next prime is 48647. The reversal of 48627 is 72684.

It is not a de Polignac number, because 48627 - 2² = 48623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1801 = 48627 / (4 + 8 + 6 + 2 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48627.

It is not an unprimeable number, because it can be changed into a prime (48623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (9010).

2⁴⁸⁶²⁷ is an apocalyptic number.

48627 is a deficient number, since it is larger than the sum of its proper divisors (23453).

48627 is a wasteful number, since it uses less digits than its factorization.

48627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 48627 is about 220.5153055912. The cubic root of 48627 is about 36.4999687246.

Adding to 48627 its product of digits (2688), we get a palindrome (51315).

The spelling of 48627 in words is "forty-eight thousand, six hundred twenty-seven".