125977 has 4 divisors (see below), whose sum is σ = 126720. Its totient is φ = 125236.

The previous prime is 125963. The next prime is 126001. The reversal of 125977 is 779521.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125977 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 1 + 2¹³ + 9² + 5 + 7² + 7⁶ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

2¹²⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

125977 is a deficient number, since it is larger than the sum of its proper divisors (743).

125977 is an equidigital number, since it uses as much as digits as its factorization.

125977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its digits is 4410, while the sum is 31.

The square root of 125977 is about 354.9323879276. The cubic root of 125977 is about 50.1299287446.

The spelling of 125977 in words is "one hundred twenty-five thousand, nine hundred seventy-seven".