47125 has 16 divisors (see below), whose sum is σ = 65520. Its totient is φ = 33600.

The previous prime is 47123. The next prime is 47129. The reversal of 47125 is 52174.

47125 = 153² + 154².

It can be written as a sum of positive squares in 8 ways, for example, as 23716 + 23409 = 154^2 + 153^2 .

It is not a de Polignac number, because 47125 - 2¹ = 47123 is a prime.

47125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47123) 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, 1611 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁴⁷¹²⁵ is an apocalyptic number.

47125 is the 154-th centered square number.

It is an amenable number.

47125 is a deficient number, since it is larger than the sum of its proper divisors (18395).

47125 is a wasteful number, since it uses less digits than its factorization.

47125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The square root of 47125 is about 217.0829334609. The cubic root of 47125 is about 36.1202256195.

Adding to 47125 its reverse (52174), we get a palindrome (99299).

It can be divided in two parts, 471 and 25, that added together give a triangular number (496 = T₃₁).

The spelling of 47125 in words is "forty-seven thousand, one hundred twenty-five".