83485164 has 144 divisors (see below), whose sum is σ = 250315520. Its totient is φ = 21150720.

The previous prime is 83485159. The next prime is 83485187. The reversal of 83485164 is 46158438.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461154 + ... + 461334.

Almost surely, 2^83485164 is an apocalyptic number.

83485164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83485164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125157760).

83485164 is an abundant number, since it is smaller than the sum of its proper divisors (166830356).

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

83485164 is a wasteful number, since it uses less digits than its factorization.

83485164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 83485164 is about 9137.0216153843. The cubic root of 83485164 is about 437.0553440337.

The spelling of 83485164 in words is "eighty-three million, four hundred eighty-five thousand, one hundred sixty-four".