83305417 has 8 divisors (see below), whose sum is σ = 89792640. Its totient is φ = 76829520.

The previous prime is 83305363. The next prime is 83305433. The reversal of 83305417 is 71450338.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83305417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83305217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18384 + ... + 22462.

It is an arithmetic number, because the mean of its divisors is an integer number (11224080).

Almost surely, 2^83305417 is an apocalyptic number.

It is an amenable number.

83305417 is a deficient number, since it is larger than the sum of its proper divisors (6487223).

83305417 is a wasteful number, since it uses less digits than its factorization.

83305417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 83305417 is about 9127.1801231267. The cubic root of 83305417 is about 436.7414525938.

The spelling of 83305417 in words is "eighty-three million, three hundred five thousand, four hundred seventeen".