823005123 has 24 divisors (see below), whose sum is σ = 1147880448. Its totient is φ = 524441568.

The previous prime is 823005077. The next prime is 823005167. The reversal of 823005123 is 321500328.

It is not a de Polignac number, because 823005123 - 2⁶ = 823005059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823005093 and 823005102.

It is not an unprimeable number, because it can be changed into a prime (823005923) 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, 258286 + ... + 261452.

It is an arithmetic number, because the mean of its divisors is an integer number (47828352).

Almost surely, 2^823005123 is an apocalyptic number.

823005123 is a deficient number, since it is larger than the sum of its proper divisors (324875325).

823005123 is a wasteful number, since it uses less digits than its factorization.

823005123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 823005123 is about 28688.0658637002. The cubic root of 823005123 is about 937.1321690148.

The spelling of 823005123 in words is "eight hundred twenty-three million, five thousand, one hundred twenty-three".