126577 has 8 divisors (see below), whose sum is σ = 142272. Its totient is φ = 111600.

The previous prime is 126551. The next prime is 126583. The reversal of 126577 is 775621.

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 126577 - 2¹¹ = 124529 is a prime.

It is a Duffinian number.

126577 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (126517) 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, 252 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (17784).

2¹²⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

126577 is a deficient number, since it is larger than the sum of its proper divisors (15695).

126577 is a wasteful number, since it uses less digits than its factorization.

126577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 2940, while the sum is 28.

The square root of 126577 is about 355.7766153080. The cubic root of 126577 is about 50.2093885711.

It can be divided in two parts, 126 and 577, that added together give a triangular number (703 = T₃₇).

The spelling of 126577 in words is "one hundred twenty-six thousand, five hundred seventy-seven".