125937 has 12 divisors (see below), whose sum is σ = 208000. Its totient is φ = 71928.

The previous prime is 125933. The next prime is 125941. The reversal of 125937 is 739521.

It is an interprime number because it is at equal distance from previous prime (125933) and next prime (125941).

It is not a de Polignac number, because 125937 - 2² = 125933 is a prime.

It is a d-powerful number, because it can be written as 1 + 2¹³ + 9 + 5 + 3⁴ + 7⁶ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125937.

It is not an unprimeable number, because it can be changed into a prime (125933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937 + ... + 1062.

2¹²⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

125937 is a deficient number, since it is larger than the sum of its proper divisors (82063).

125937 is a wasteful number, since it uses less digits than its factorization.

125937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2009 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 125937 is about 354.8760346938. The cubic root of 125937 is about 50.1246224601.

It can be divided in two parts, 1259 and 37, that added together give a 4-th power (1296 = 6⁴).

The spelling of 125937 in words is "one hundred twenty-five thousand, nine hundred thirty-seven".