816280047 has 24 divisors (see below), whose sum is σ = 1298763648. Its totient is φ = 489906000.

The previous prime is 816280013. The next prime is 816280063. The reversal of 816280047 is 740082618.

It is not a de Polignac number, because 816280047 - 2¹⁴ = 816263663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 816279993 and 816280020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816280447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29829 + ... + 50222.

It is an arithmetic number, because the mean of its divisors is an integer number (54115152).

Almost surely, 2^816280047 is an apocalyptic number.

816280047 is a deficient number, since it is larger than the sum of its proper divisors (482483601).

816280047 is a wasteful number, since it uses less digits than its factorization.

816280047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80171 (or 80168 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 816280047 is about 28570.6150966338. The cubic root of 816280047 is about 934.5726347221.

It can be divided in two parts, 8162 and 80047, that added together give a square (88209 = 297²).

The spelling of 816280047 in words is "eight hundred sixteen million, two hundred eighty thousand, forty-seven".