125817 has 8 divisors (see below), whose sum is σ = 177696. Its totient is φ = 78912.

The previous prime is 125813. The next prime is 125821. The reversal of 125817 is 718521.

125817 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (125813) and next prime (125821).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 125817 - 2² = 125813 is a prime.

125817 is strictly pandigital in base 7.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125817.

It is not an unprimeable number, because it can be changed into a prime (125813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (22212).

2¹²⁵⁸¹⁷ is an apocalyptic number.

125817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

125817 is a deficient number, since it is larger than the sum of its proper divisors (51879).

125817 is a wasteful number, since it uses less digits than its factorization.

125817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487.

The product of its digits is 560, while the sum is 24.

The square root of 125817 is about 354.7069212745. The cubic root of 125817 is about 50.1086968619.

Subtracting 125817 from its reverse (718521), we obtain a cube (592704 = 84³).

It can be divided in two parts, 1258 and 17, that added together give a triangular number (1275 = T₅₀).

The spelling of 125817 in words is "one hundred twenty-five thousand, eight hundred seventeen".