125292 has 24 divisors (see below), whose sum is σ = 299376. Its totient is φ = 40768.

The previous prime is 125287. The next prime is 125299. The reversal of 125292 is 292521.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125292.

It is not an unprimeable number, because it can be changed into a prime (125299) 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, 538 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2¹²⁵²⁹² is an apocalyptic number.

125292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125292 is an abundant number, since it is smaller than the sum of its proper divisors (174084).

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

125292 is a wasteful number, since it uses less digits than its factorization.

125292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 125292 is about 353.9661000717. The cubic root of 125292 is about 50.0389030565.

It can be divided in two parts, 12 and 5292, that multiplied together give a square (63504 = 252²).

The spelling of 125292 in words is "one hundred twenty-five thousand, two hundred ninety-two".