47625 has 16 divisors (see below), whose sum is σ = 79872. Its totient is φ = 25200.

The previous prime is 47623. The next prime is 47629. The reversal of 47625 is 52674.

It is a happy number.

It is not a de Polignac number, because 47625 - 2¹ = 47623 is a prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 47595 and 47604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47625.

It is not an unprimeable number, because it can be changed into a prime (47623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

2⁴⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

47625 is a deficient number, since it is larger than the sum of its proper divisors (32247).

47625 is a wasteful number, since it uses less digits than its factorization.

47625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 47625 is about 218.2315284280. The cubic root of 47625 is about 36.2475226210.

The spelling of 47625 in words is "forty-seven thousand, six hundred twenty-five".