817731216 has 45 divisors (see below), whose sum is σ = 2289472419. Its totient is φ = 272462688.

The previous prime is 817731179. The next prime is 817731227. The reversal of 817731216 is 612137718.

The square root of 817731216 is 28596.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 341961 + ... + 344343.

Almost surely, 2^817731216 is an apocalyptic number.

817731216 is the 28596-th square number.

It is an amenable number.

817731216 is an abundant number, since it is smaller than the sum of its proper divisors (1471741203).

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

817731216 is an equidigital number, since it uses as much as digits as its factorization.

817731216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 2388 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The cubic root of 817731216 is about 935.1261293810.

Multiplying 817731216 by its sum of digits (36), we get a square (29438323776 = 171576²).

817731216 divided by its sum of digits (36) gives a square (22714756 = 4766²).

It can be divided in two parts, 8177 and 31216, that added together give a palindrome (39393).

The spelling of 817731216 in words is "eight hundred seventeen million, seven hundred thirty-one thousand, two hundred sixteen".