122657 has 4 divisors (see below), whose sum is σ = 123540. Its totient is φ = 121776.

The previous prime is 122653. The next prime is 122663. The reversal of 122657 is 756221.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 756221 = 71 ⋅10651.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 57121 = 256^2 + 239^2 .

It is a cyclic number.

It is not a de Polignac number, because 122657 - 2² = 122653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122651) 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, 182 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (30885).

2¹²²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

122657 is a deficient number, since it is larger than the sum of its proper divisors (883).

122657 is an equidigital number, since it uses as much as digits as its factorization.

122657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882.

The product of its digits is 840, while the sum is 23.

The square root of 122657 is about 350.2242138973. The cubic root of 122657 is about 49.6856275417.

Adding to 122657 its reverse (756221), we get a palindrome (878878).

The spelling of 122657 in words is "one hundred twenty-two thousand, six hundred fifty-seven".