83382417 has 24 divisors (see below), whose sum is σ = 122316480. Its totient is φ = 54731040.

The previous prime is 83382407. The next prime is 83382419. The reversal of 83382417 is 71428338.

It is not a de Polignac number, because 83382417 - 2⁶ = 83382353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83382419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232084 + ... + 232442.

It is an arithmetic number, because the mean of its divisors is an integer number (5096520).

Almost surely, 2^83382417 is an apocalyptic number.

It is an amenable number.

83382417 is a deficient number, since it is larger than the sum of its proper divisors (38934063).

83382417 is a wasteful number, since it uses less digits than its factorization.

83382417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 690 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 83382417 is about 9131.3973191402. The cubic root of 83382417 is about 436.8759726012.

The spelling of 83382417 in words is "eighty-three million, three hundred eighty-two thousand, four hundred seventeen".