83190945 has 32 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 41584640.

The previous prime is 83190941. The next prime is 83190959. The reversal of 83190945 is 54909138.

It is not a de Polignac number, because 83190945 - 2² = 83190941 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83190941) 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 31 ways as a sum of consecutive naturals, for example, 78781 + ... + 79829.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^83190945 is an apocalyptic number.

83190945 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83190945 is a deficient number, since it is larger than the sum of its proper divisors (58332255).

83190945 is a wasteful number, since it uses less digits than its factorization.

83190945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 83190945 is about 9120.9070272643. The cubic root of 83190945 is about 436.5413152099.

The spelling of 83190945 in words is "eighty-three million, one hundred ninety thousand, nine hundred forty-five".