127125 has 24 divisors (see below), whose sum is σ = 231192. Its totient is φ = 67200.

The previous prime is 127123. The next prime is 127133. The reversal of 127125 is 521721.

127125 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33489 + 93636 = 183^2 + 306^2 .

It is not a de Polignac number, because 127125 - 2¹ = 127123 is a prime.

127125 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 127098 and 127107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (9633).

2¹²⁷¹²⁵ is an apocalyptic number.

127125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127125 is a deficient number, since it is larger than the sum of its proper divisors (104067).

127125 is a wasteful number, since it uses less digits than its factorization.

127125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 127125 is about 356.5459297201. The cubic root of 127125 is about 50.2817427716.

Adding to 127125 its reverse (521721), we get a palindrome (648846).

It can be divided in two parts, 1271 and 25, that added together give a 4-th power (1296 = 6⁴).

The spelling of 127125 in words is "one hundred twenty-seven thousand, one hundred twenty-five".