823786953 has 16 divisors (see below), whose sum is σ = 1210593216. Its totient is φ = 494115840.

The previous prime is 823786921. The next prime is 823786961. The reversal of 823786953 is 359687328.

It is not a de Polignac number, because 823786953 - 2⁵ = 823786921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823786896 and 823786905.

It is not an unprimeable number, because it can be changed into a prime (823786913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125476 + ... + 131877.

It is an arithmetic number, because the mean of its divisors is an integer number (75662076).

Almost surely, 2^823786953 is an apocalyptic number.

It is an amenable number.

823786953 is a deficient number, since it is larger than the sum of its proper divisors (386806263).

823786953 is a wasteful number, since it uses less digits than its factorization.

823786953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257464.

The product of its digits is 2177280, while the sum is 51.

The square root of 823786953 is about 28701.6890269545. The cubic root of 823786953 is about 937.4288241786.

The spelling of 823786953 in words is "eight hundred twenty-three million, seven hundred eighty-six thousand, nine hundred fifty-three".