817723953 has 12 divisors (see below), whose sum is σ = 1250636868. Its totient is φ = 513081600.

The previous prime is 817723943. The next prime is 817723997. The reversal of 817723953 is 359327718.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 276324129 + 541399824 = 16623^2 + 23268^2 .

It is not a de Polignac number, because 817723953 - 2¹⁸ = 817461809 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 817723899 and 817723908.

It is not an unprimeable number, because it can be changed into a prime (817723903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2672148 + ... + 2672453.

It is an arithmetic number, because the mean of its divisors is an integer number (104219739).

Almost surely, 2^817723953 is an apocalyptic number.

It is an amenable number.

817723953 is a deficient number, since it is larger than the sum of its proper divisors (432912915).

817723953 is a wasteful number, since it uses less digits than its factorization.

817723953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344624 (or 5344621 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 817723953 is about 28595.8730064322. The cubic root of 817723953 is about 935.1233608098.

The spelling of 817723953 in words is "eight hundred seventeen million, seven hundred twenty-three thousand, nine hundred fifty-three".