122759 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 90720.

The previous prime is 122753. The next prime is 122761. The reversal of 122759 is 957221.

It is not a de Polignac number, because 122759 - 2⁴ = 122743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1694 + ... + 1764.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹²²⁷⁵⁹ is an apocalyptic number.

122759 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

122759 is a deficient number, since it is larger than the sum of its proper divisors (38521).

122759 is a wasteful number, since it uses less digits than its factorization.

122759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its digits is 1260, while the sum is 26.

The square root of 122759 is about 350.3698046350. The cubic root of 122759 is about 49.6993963709.

The spelling of 122759 in words is "one hundred twenty-two thousand, seven hundred fifty-nine".