48625 has 8 divisors (see below), whose sum is σ = 60840. Its totient is φ = 38800.

The previous prime is 48623. The next prime is 48647. The reversal of 48625 is 52684.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 42849 = 76^2 + 207^2 .

It is not a de Polignac number, because 48625 - 2¹ = 48623 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 4⁴ + 8² + 6⁶ + 2¹⁰ + 5⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 48625.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2⁴⁸⁶²⁵ is an apocalyptic number.

It is an amenable number.

48625 is a deficient number, since it is larger than the sum of its proper divisors (12215).

48625 is an equidigital number, since it uses as much as digits as its factorization.

48625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 48625 is about 220.5107707120. The cubic root of 48625 is about 36.4994683103.

It can be divided in two parts, 4862 and 5, that multiplied together give a triangular number (24310 = T₂₂₀).

The spelling of 48625 in words is "forty-eight thousand, six hundred twenty-five".