122564 has 12 divisors (see below), whose sum is σ = 231084. Its totient is φ = 56544.

The previous prime is 122561. The next prime is 122579. The reversal of 122564 is 465221.

122564 = T₄₁ + T₄₂ + ... + T₉₂.

It is a happy number.

122564 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 102400 = 142^2 + 320^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (122561) 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, 1127 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (19257).

2¹²²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

122564 is a deficient number, since it is larger than the sum of its proper divisors (108520).

122564 is a wasteful number, since it uses less digits than its factorization.

122564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2372 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 122564 is about 350.0914166329. The cubic root of 122564 is about 49.6730669549.

Adding to 122564 its reverse (465221), we get a palindrome (587785).

It can be divided in two parts, 1225 and 64, that multiplied together give a square (78400 = 280²).

The spelling of 122564 in words is "one hundred twenty-two thousand, five hundred sixty-four".