816147 has 24 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 506688.

The previous prime is 816133. The next prime is 816157. The reversal of 816147 is 741618.

It is a happy number.

It is not a de Polignac number, because 816147 - 2⁴ = 816131 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 816147.

It is not an unprimeable number, because it can be changed into a prime (816157) 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, 13804 + ... + 13862.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2⁸¹⁶¹⁴⁷ is an apocalyptic number.

816147 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

816147 is a deficient number, since it is larger than the sum of its proper divisors (447453).

816147 is a wasteful number, since it uses less digits than its factorization.

816147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 816147 is about 903.4085454544. The cubic root of 816147 is about 93.4521856054.

Subtracting from 816147 its reverse (741618), we obtain a square (74529 = 273²).

The spelling of 816147 in words is "eight hundred sixteen thousand, one hundred forty-seven".