122577 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 64512.

The previous prime is 122561. The next prime is 122579. The reversal of 122577 is 775221.

122577 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 122577 - 2⁴ = 122561 is a prime.

122577 is a lucky number.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122577.

It is not an unprimeable number, because it can be changed into a prime (122579) 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 15 ways as a sum of consecutive naturals, for example, 49 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²²⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

122577 is a deficient number, since it is larger than the sum of its proper divisors (79023).

122577 is a wasteful number, since it uses less digits than its factorization.

122577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its digits is 980, while the sum is 24.

The square root of 122577 is about 350.1099827197. The cubic root of 122577 is about 49.6748231178.

Adding to 122577 its reverse (775221), we get a palindrome (897798).

It can be divided in two parts, 1 and 22577, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 122577 in words is "one hundred twenty-two thousand, five hundred seventy-seven".