82715193 has 24 divisors (see below), whose sum is σ = 130886496. Its totient is φ = 49920000.

The previous prime is 82715177. The next prime is 82715197. The reversal of 82715193 is 39151728.

It is not a de Polignac number, because 82715193 - 2⁴ = 82715177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82715197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23818 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (5453604).

Almost surely, 2^82715193 is an apocalyptic number.

It is an amenable number.

82715193 is a deficient number, since it is larger than the sum of its proper divisors (48171303).

82715193 is a wasteful number, since it uses less digits than its factorization.

82715193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3522 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 82715193 is about 9094.7893323595. The cubic root of 82715193 is about 435.7075603267.

The spelling of 82715193 in words is "eighty-two million, seven hundred fifteen thousand, one hundred ninety-three".