125946 has 12 divisors (see below), whose sum is σ = 272922. Its totient is φ = 41976.

The previous prime is 125941. The next prime is 125959. The reversal of 125946 is 649521.

125946 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 114921 + 11025 = 339^2 + 105^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125946.

It is not an unprimeable number, because it can be changed into a prime (125941) by changing a digit.

125946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3481 + ... + 3516.

2¹²⁵⁹⁴⁶ is an apocalyptic number.

125946 is an abundant number, since it is smaller than the sum of its proper divisors (146976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125946 is a wasteful number, since it uses less digits than its factorization.

125946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 7002 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 125946 is about 354.8887149516. Note that the first 3 decimals coincide. The cubic root of 125946 is about 50.1258164721.

The spelling of 125946 in words is "one hundred twenty-five thousand, nine hundred forty-six".