125333 has 8 divisors (see below), whose sum is σ = 139776. Its totient is φ = 111600.

The previous prime is 125329. The next prime is 125339. The reversal of 125333 is 333521.

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

It is not a de Polignac number, because 125333 - 2² = 125329 is a prime.

125333 is a modest number, since divided by 333 gives 125 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125339) 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, 248 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2¹²⁵³³³ is an apocalyptic number.

125333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125333 is a deficient number, since it is larger than the sum of its proper divisors (14443).

125333 is a wasteful number, since it uses less digits than its factorization.

125333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its digits is 270, while the sum is 17.

The square root of 125333 is about 354.0240104852. The cubic root of 125333 is about 50.0443606310.

Subtracting from 125333 its sum of digits (17), we obtain a square (125316 = 354²).

Adding to 125333 its reverse (333521), we get a palindrome (458854).

The spelling of 125333 in words is "one hundred twenty-five thousand, three hundred thirty-three".