83005208 has 96 divisors (see below), whose sum is σ = 191464560. Its totient is φ = 33246720.

The previous prime is 83005193. The next prime is 83005231. The reversal of 83005208 is 80250038.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 23 ways as a sum of consecutive naturals, for example, 1566110 + ... + 1566162.

Almost surely, 2^83005208 is an apocalyptic number.

83005208 is a gapful number since it is divisible by the number (88) 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 83005208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95732280).

83005208 is an abundant number, since it is smaller than the sum of its proper divisors (108459352).

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

83005208 is a wasteful number, since it uses less digits than its factorization.

83005208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 83005208 is about 9110.7194007938. The cubic root of 83005208 is about 436.2161905145.

The spelling of 83005208 in words is "eighty-three million, five thousand, two hundred eight".