816416329 has 3 divisors (see below), whose sum is σ = 816444903. Its totient is φ = 816387756.

The previous prime is 816416317. The next prime is 816416369. The reversal of 816416329 is 923614618.

The square root of 816416329 is 28573.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 923614618 = 2 ⋅461807309.

It can be written as a sum of positive squares in only one way, i.e., 1428025 + 814988304 = 1195^2 + 28548^2 .

It is not a de Polignac number, because 816416329 - 2⁵ = 816416297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816416291 and 816416300.

It is not an unprimeable number, because it can be changed into a prime (816416369) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14287 + ... + 42859.

It is an arithmetic number, because the mean of its divisors is an integer number (272148301).

Almost surely, 2^816416329 is an apocalyptic number.

816416329 is the 28573-rd square number.

816416329 is the 14287-th centered octagonal number.

It is an amenable number.

816416329 is a deficient number, since it is larger than the sum of its proper divisors (28574).

816416329 is an frugal number, since it uses more digits than its factorization.

816416329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57146 (or 28573 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The cubic root of 816416329 is about 934.6246423392.

It can be divided in two parts, 8164 and 16329, that multiplied together give a triangular number (133309956 = T₁₆₃₂₈).

The spelling of 816416329 in words is "eight hundred sixteen million, four hundred sixteen thousand, three hundred twenty-nine".