122257 has 4 divisors (see below), whose sum is σ = 123120. Its totient is φ = 121396.

The previous prime is 122251. The next prime is 122263. The reversal of 122257 is 752221.

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, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 752221 = 127 ⋅5923.

It is an interprime number because it is at equal distance from previous prime (122251) and next prime (122263).

It is a cyclic number.

It is not a de Polignac number, because 122257 - 2¹¹ = 120209 is a prime.

It is a Duffinian number.

122257 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (122251) 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, 163 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2¹²²²⁵⁷ is an apocalyptic number.

It is an amenable number.

122257 is a deficient number, since it is larger than the sum of its proper divisors (863).

122257 is an equidigital number, since it uses as much as digits as its factorization.

122257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862.

The product of its digits is 280, while the sum is 19.

The square root of 122257 is about 349.6526848174. The cubic root of 122257 is about 49.6315583504.

Adding to 122257 its reverse (752221), we get a palindrome (874478).

The spelling of 122257 in words is "one hundred twenty-two thousand, two hundred fifty-seven".