122563 has 4 divisors (see below), whose sum is σ = 140080. Its totient is φ = 105048.

The previous prime is 122561. The next prime is 122579. The reversal of 122563 is 365221.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 365221 = 521 ⋅701.

It is a cyclic number.

It is not a de Polignac number, because 122563 - 2¹ = 122561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122563.

It is not an unprimeable number, because it can be changed into a prime (122561) 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, 8748 + ... + 8761.

It is an arithmetic number, because the mean of its divisors is an integer number (35020).

2¹²²⁵⁶³ is an apocalyptic number.

122563 is a deficient number, since it is larger than the sum of its proper divisors (17517).

122563 is an equidigital number, since it uses as much as digits as its factorization.

122563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516.

The product of its digits is 360, while the sum is 19.

The square root of 122563 is about 350.0899884315. The cubic root of 122563 is about 49.6729318603.

Adding to 122563 its reverse (365221), we get a palindrome (487784).

It can be divided in two parts, 122 and 563, that multiplied together give a palindrome (68686).

The spelling of 122563 in words is "one hundred twenty-two thousand, five hundred sixty-three".