122361 has 4 divisors (see below), whose sum is σ = 163152. Its totient is φ = 81572.

The previous prime is 122347. The next prime is 122363. The reversal of 122361 is 163221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122361 - 2¹⁴ = 105977 is a prime.

It is a D-number.

122361 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 122361.

It is not an unprimeable number, because it can be changed into a prime (122363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20391 + ... + 20396.

It is an arithmetic number, because the mean of its divisors is an integer number (40788).

2¹²²³⁶¹ is an apocalyptic number.

It is an amenable number.

122361 is a deficient number, since it is larger than the sum of its proper divisors (40791).

122361 is an equidigital number, since it uses as much as digits as its factorization.

122361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40790.

The product of its digits is 72, while the sum is 15.

The square root of 122361 is about 349.8013722100. The cubic root of 122361 is about 49.6456276720.

Adding to 122361 its reverse (163221), we get a palindrome (285582).

The spelling of 122361 in words is "one hundred twenty-two thousand, three hundred sixty-one".