191020041 has 27 divisors (see below), whose sum is σ = 294188583. Its totient is φ = 119413440.

The previous prime is 191020009. The next prime is 191020073. The reversal of 191020041 is 140020191.

The square root of 191020041 is 13821.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (191020009) and next prime (191020073).

It can be written as a sum of positive squares in only one way, i.e., 148718025 + 42302016 = 12195^2 + 6504^2 .

It is not a de Polignac number, because 191020041 - 2⁵ = 191020009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 191019996 and 191020023.

It is not an unprimeable number, because it can be changed into a prime (191020001) 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 26 ways as a sum of consecutive naturals, for example, 704736 + ... + 705006.

Almost surely, 2^191020041 is an apocalyptic number.

191020041 is the 13821-st square number.

191020041 is the 6911-st centered octagonal number.

It is an amenable number.

191020041 is a deficient number, since it is larger than the sum of its proper divisors (103168542).

191020041 is an equidigital number, since it uses as much as digits as its factorization.

191020041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 191020041 is about 575.9166636523.

The spelling of 191020041 in words is "one hundred ninety-one million, twenty thousand, forty-one".