122805 has 12 divisors (see below), whose sum is σ = 212940. Its totient is φ = 65472.

The previous prime is 122789. The next prime is 122819. The reversal of 122805 is 508221.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 34596 = 297^2 + 186^2 .

It is not a de Polignac number, because 122805 - 2⁴ = 122789 is a prime.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1320 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2¹²²⁸⁰⁵ is an apocalyptic number.

122805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122805 is a deficient number, since it is larger than the sum of its proper divisors (90135).

122805 is a wasteful number, since it uses less digits than its factorization.

122805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122805 is about 350.4354434129. The cubic root of 122805 is about 49.7056033476.

The spelling of 122805 in words is "one hundred twenty-two thousand, eight hundred five".