126563 has 4 divisors (see below), whose sum is σ = 128520. Its totient is φ = 124608.

The previous prime is 126551. The next prime is 126583. The reversal of 126563 is 365621.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 365621 = 131 ⋅2791.

It is a cyclic number.

It is not a de Polignac number, because 126563 - 2⁴ = 126547 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (126583) 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 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

126563 is a Friedman number, since it can be written as ((21-6)^5+3)/6, using all its digits and the basic arithmetic operations.

2¹²⁶⁵⁶³ is an apocalyptic number.

126563 is a deficient number, since it is larger than the sum of its proper divisors (1957).

126563 is an equidigital number, since it uses as much as digits as its factorization.

126563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

The product of its digits is 1080, while the sum is 23.

The square root of 126563 is about 355.7569394966. The cubic root of 126563 is about 50.2075373729.

The spelling of 126563 in words is "one hundred twenty-six thousand, five hundred sixty-three".