125417 has 4 divisors (see below), whose sum is σ = 126336. Its totient is φ = 124500.

The previous prime is 125407. The next prime is 125423. The reversal of 125417 is 714521.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 125417 - 2⁶ = 125353 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125417.

It is not an unprimeable number, because it can be changed into a prime (125407) 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 3 ways as a sum of consecutive naturals, for example, 209 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (31584).

2¹²⁵⁴¹⁷ is an apocalyptic number.

It is an amenable number.

125417 is a deficient number, since it is larger than the sum of its proper divisors (919).

125417 is an equidigital number, since it uses as much as digits as its factorization.

125417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918.

The product of its digits is 280, while the sum is 20.

The square root of 125417 is about 354.1426266351. The cubic root of 125417 is about 50.0555382871.

Adding to 125417 its reverse (714521), we get a palindrome (839938).

It can be divided in two parts, 125 and 417, that multiplied together give a palindrome (52125).

The spelling of 125417 in words is "one hundred twenty-five thousand, four hundred seventeen".