122815 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 73920.

The previous prime is 122789. The next prime is 122819. The reversal of 122815 is 518221.

122815 = 27³ + 28³ + ... + 31³.

It is not a de Polignac number, because 122815 - 2¹¹ = 120767 is a prime.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 122792 and 122801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4221 + ... + 4249.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹²²⁸¹⁵ is an apocalyptic number.

122815 is a deficient number, since it is larger than the sum of its proper divisors (68705).

122815 is a wasteful number, since it uses less digits than its factorization.

122815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 122815 is about 350.4497110856. The cubic root of 122815 is about 49.7069524852.

The spelling of 122815 in words is "one hundred twenty-two thousand, eight hundred fifteen".