83417165 has 32 divisors (see below), whose sum is σ = 111809376. Its totient is φ = 59351040.

The previous prime is 83417141. The next prime is 83417167. The reversal of 83417165 is 56171438.

It can be written as a sum of positive squares in 16 ways, for example, as 82119844 + 1297321 = 9062^2 + 1139^2 .

It is not a de Polignac number, because 83417165 - 2⁶ = 83417101 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301007 + ... + 301283.

It is an arithmetic number, because the mean of its divisors is an integer number (3494043).

Almost surely, 2^83417165 is an apocalyptic number.

It is an amenable number.

83417165 is a deficient number, since it is larger than the sum of its proper divisors (28392211).

83417165 is a wasteful number, since it uses less digits than its factorization.

83417165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its digits is 20160, while the sum is 35.

The square root of 83417165 is about 9133.2997870430. The cubic root of 83417165 is about 436.9366506938.

The spelling of 83417165 in words is "eighty-three million, four hundred seventeen thousand, one hundred sixty-five".