122782 has 8 divisors (see below), whose sum is σ = 200952. Its totient is φ = 55800.

The previous prime is 122777. The next prime is 122789. The reversal of 122782 is 287221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 5581 = 122782 / (1 + 2 + 2 + 7 + 8 + 2).

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 2² + 7⁶ + 2¹⁰ + 8 + 2¹² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122789) by changing a digit.

122782 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 2769 + ... + 2812.

It is an arithmetic number, because the mean of its divisors is an integer number (25119).

2¹²²⁷⁸² is an apocalyptic number.

122782 is a deficient number, since it is larger than the sum of its proper divisors (78170).

122782 is a wasteful number, since it uses less digits than its factorization.

122782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594.

The product of its digits is 448, while the sum is 22.

The square root of 122782 is about 350.4026255609. The cubic root of 122782 is about 49.7025000530.

Subtracting from 122782 its sum of digits (22), we obtain a triangular number (122760 = T₄₉₅).

The spelling of 122782 in words is "one hundred twenty-two thousand, seven hundred eighty-two".