122783 has 4 divisors (see below), whose sum is σ = 123600. Its totient is φ = 121968.

The previous prime is 122777. The next prime is 122789. The reversal of 122783 is 387221.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 387221 = 31 ⋅12491.

It is an interprime number because it is at equal distance from previous prime (122777) and next prime (122789).

It is a cyclic number.

It is not a de Polignac number, because 122783 - 2⁶ = 122719 is a prime.

It is a d-powerful number, because it can be written as 1 + 2² + 7⁶ + 2¹⁰ + 8⁴ + 3² .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122789) 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, 110 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (30900).

2¹²²⁷⁸³ is an apocalyptic number.

122783 is a deficient number, since it is larger than the sum of its proper divisors (817).

122783 is an equidigital number, since it uses as much as digits as its factorization.

122783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816.

The product of its digits is 672, while the sum is 23.

The square root of 122783 is about 350.4040524880. The cubic root of 122783 is about 49.7026349870.

Subtracting from 122783 its sum of digits (23), we obtain a triangular number (122760 = T₄₉₅).

The spelling of 122783 in words is "one hundred twenty-two thousand, seven hundred eighty-three".