82817199 has 24 divisors (see below), whose sum is σ = 122273424. Its totient is φ = 54000000.

The previous prime is 82817197. The next prime is 82817209. The reversal of 82817199 is 99171828.

It is not a de Polignac number, because 82817199 - 2¹ = 82817197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82817197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137499 + ... + 138099.

It is an arithmetic number, because the mean of its divisors is an integer number (5094726).

Almost surely, 2^82817199 is an apocalyptic number.

82817199 is a deficient number, since it is larger than the sum of its proper divisors (39456225).

82817199 is a wasteful number, since it uses less digits than its factorization.

82817199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 82817199 is about 9100.3955408543. The cubic root of 82817199 is about 435.8865944567.

It can be divided in two parts, 82 and 817199, that added together give a triangular number (817281 = T₁₂₇₈).

The spelling of 82817199 in words is "eighty-two million, eight hundred seventeen thousand, one hundred ninety-nine".