125749 has 8 divisors (see below), whose sum is σ = 143640. Its totient is φ = 109056.

The previous prime is 125743. The next prime is 125753. The reversal of 125749 is 947521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 122500 = 57^2 + 350^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 125749 - 2⁵ = 125717 is a prime.

It is a super-2 number, since 2×125749² = 31625622002, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125743) 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, 64 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2¹²⁵⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

125749 is a deficient number, since it is larger than the sum of its proper divisors (17891).

125749 is a wasteful number, since it uses less digits than its factorization.

125749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

The product of its digits is 2520, while the sum is 28.

The square root of 125749 is about 354.6110545372. The cubic root of 125749 is about 50.0996678610.

The spelling of 125749 in words is "one hundred twenty-five thousand, seven hundred forty-nine".