125583 has 8 divisors (see below), whose sum is σ = 171696. Its totient is φ = 81600.

The previous prime is 125551. The next prime is 125591. The reversal of 125583 is 385521.

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

It is not a de Polignac number, because 125583 - 2⁵ = 125551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (21462).

2¹²⁵⁵⁸³ is an apocalyptic number.

125583 is a deficient number, since it is larger than the sum of its proper divisors (46113).

125583 is a wasteful number, since it uses less digits than its factorization.

125583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

The product of its digits is 1200, while the sum is 24.

The square root of 125583 is about 354.3769179842. The cubic root of 125583 is about 50.0776127961.

It can be divided in two parts, 12558 and 3, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 125583 in words is "one hundred twenty-five thousand, five hundred eighty-three".