82417945 has 8 divisors (see below), whose sum is σ = 98968320. Its totient is φ = 65889840.

The previous prime is 82417897. The next prime is 82417957. The reversal of 82417945 is 54971428.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82417945 - 2⁷ = 82417817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82417898 and 82417907.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4110 + ... + 13480.

It is an arithmetic number, because the mean of its divisors is an integer number (12371040).

Almost surely, 2^82417945 is an apocalyptic number.

It is an amenable number.

82417945 is a deficient number, since it is larger than the sum of its proper divisors (16550375).

82417945 is a wasteful number, since it uses less digits than its factorization.

82417945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135.

The product of its digits is 80640, while the sum is 40.

The square root of 82417945 is about 9078.4329594925. The cubic root of 82417945 is about 435.1850096013.

It can be divided in two parts, 824 and 17945, that added together give a square (18769 = 137²).

The spelling of 82417945 in words is "eighty-two million, four hundred seventeen thousand, nine hundred forty-five".