83190966 has 32 divisors (see below), whose sum is σ = 173145600. Its totient is φ = 26614560.

The previous prime is 83190959. The next prime is 83190967. The reversal of 83190966 is 66909138.

It is a super-3 number, since 3×83190966³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83190967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29811 + ... + 32481.

It is an arithmetic number, because the mean of its divisors is an integer number (5410800).

Almost surely, 2^83190966 is an apocalyptic number.

83190966 is an abundant number, since it is smaller than the sum of its proper divisors (89954634).

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

83190966 is a wasteful number, since it uses less digits than its factorization.

83190966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 83190966 is about 9120.9081784656. The cubic root of 83190966 is about 436.5413519421.

The spelling of 83190966 in words is "eighty-three million, one hundred ninety thousand, nine hundred sixty-six".