83417164 has 24 divisors (see below), whose sum is σ = 155288448. Its totient is φ = 39072000.

The previous prime is 83417141. The next prime is 83417167. The reversal of 83417164 is 46171438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (83417167) 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 7 ways as a sum of consecutive naturals, for example, 12414 + ... + 17914.

It is an arithmetic number, because the mean of its divisors is an integer number (6470352).

Almost surely, 2^83417164 is an apocalyptic number.

It is an amenable number.

83417164 is a deficient number, since it is larger than the sum of its proper divisors (71871284).

83417164 is a wasteful number, since it uses less digits than its factorization.

83417164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5743 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 83417164 is about 9133.2997322983. The cubic root of 83417164 is about 436.9366489478.

The spelling of 83417164 in words is "eighty-three million, four hundred seventeen thousand, one hundred sixty-four".