19205241 has 24 divisors (see below), whose sum is σ = 28396032. Its totient is φ = 11536800.

The previous prime is 19205233. The next prime is 19205243. The reversal of 19205241 is 14250291.

It is not a de Polignac number, because 19205241 - 2³ = 19205233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19205243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69195 + ... + 69471.

It is an arithmetic number, because the mean of its divisors is an integer number (1183168).

Almost surely, 2^19205241 is an apocalyptic number.

19205241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19205241 is a deficient number, since it is larger than the sum of its proper divisors (9190791).

19205241 is a wasteful number, since it uses less digits than its factorization.

19205241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 19205241 is about 4382.3784638025. The cubic root of 19205241 is about 267.7975423864.

The spelling of 19205241 in words is "nineteen million, two hundred five thousand, two hundred forty-one".