8272819 has 2 divisors, whose sum is σ = 8272820. Its totient is φ = 8272818.

The previous prime is 8272787. The next prime is 8272853. The reversal of 8272819 is 9182728.

8272819 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8272819 - 2⁵ = 8272787 is a prime.

It is a super-4 number, since 4×8272819⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is equal to p₅₅₆₈₉₄ and since 8272819 and 556894 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8272879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4136409 + 4136410.

It is an arithmetic number, because the mean of its divisors is an integer number (4136410).

Almost surely, 2^8272819 is an apocalyptic number.

8272819 is a deficient number, since it is larger than the sum of its proper divisors (1).

8272819 is an equidigital number, since it uses as much as digits as its factorization.

8272819 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16128, while the sum is 37.

The square root of 8272819 is about 2876.2508583223. The cubic root of 8272819 is about 202.2481266153.

Subtracting 8272819 from its reverse (9182728), we obtain a palindrome (909909).

The spelling of 8272819 in words is "eight million, two hundred seventy-two thousand, eight hundred nineteen".