126566 has 12 divisors (see below), whose sum is σ = 209076. Its totient is φ = 57420.

The previous prime is 126551. The next prime is 126583. The reversal of 126566 is 665621.

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

126566 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 20 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (17423).

2¹²⁶⁵⁶⁶ is an apocalyptic number.

126566 is a deficient number, since it is larger than the sum of its proper divisors (82510).

126566 is a wasteful number, since it uses less digits than its factorization.

126566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 126566 is about 355.7611558335. The cubic root of 126566 is about 50.2079340697.

It can be divided in two parts, 1265 and 66, that added together give a palindrome (1331).

The spelling of 126566 in words is "one hundred twenty-six thousand, five hundred sixty-six".