122653 has 2 divisors, whose sum is σ = 122654. Its totient is φ = 122652.

The previous prime is 122651. The next prime is 122663. The reversal of 122653 is 356221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77284 + 45369 = 278^2 + 213^2 .

It is a cyclic number.

It is not a de Polignac number, because 122653 - 2¹ = 122651 is a prime.

Together with 122651, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61326 + 61327.

It is an arithmetic number, because the mean of its divisors is an integer number (61327).

2¹²²⁶⁵³ is an apocalyptic number.

It is an amenable number.

122653 is a deficient number, since it is larger than the sum of its proper divisors (1).

122653 is an equidigital number, since it uses as much as digits as its factorization.

122653 is an evil number, because the sum of its binary digits is even.

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

The square root of 122653 is about 350.2185032233. The cubic root of 122653 is about 49.6850874321.

Adding to 122653 its reverse (356221), we get a palindrome (478874).

The spelling of 122653 in words is "one hundred twenty-two thousand, six hundred fifty-three".