817479252 has 36 divisors (see below), whose sum is σ = 2067388596. Its totient is φ = 272363520.

The previous prime is 817479241. The next prime is 817479253. The reversal of 817479252 is 252974718.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 688747536 + 128731716 = 26244^2 + 11346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 817479198 and 817479207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817479253) 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, 99028 + ... + 106964.

It is an arithmetic number, because the mean of its divisors is an integer number (57427461).

Almost surely, 2^817479252 is an apocalyptic number.

It is an amenable number.

817479252 is an abundant number, since it is smaller than the sum of its proper divisors (1249909344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

817479252 is a wasteful number, since it uses less digits than its factorization.

817479252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10808 (or 10803 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 817479252 is about 28591.5940793793. The cubic root of 817479252 is about 935.0300740515.

The spelling of 817479252 in words is "eight hundred seventeen million, four hundred seventy-nine thousand, two hundred fifty-two".