83145664 has 28 divisors (see below), whose sum is σ = 188563504. Its totient is φ = 35633664.

The previous prime is 83145649. The next prime is 83145677. The reversal of 83145664 is 46654138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 92349 + ... + 93244.

Almost surely, 2^83145664 is an apocalyptic number.

It is an amenable number.

83145664 is an abundant number, since it is smaller than the sum of its proper divisors (105417840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83145664 is a wasteful number, since it uses less digits than its factorization.

83145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185612 (or 185602 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 83145664 is about 9118.4244253051. The cubic root of 83145664 is about 436.4620973944.

The spelling of 83145664 in words is "eighty-three million, one hundred forty-five thousand, six hundred sixty-four".