205323741 has 40 divisors (see below), whose sum is σ = 362651520. Its totient is φ = 113272992.

The previous prime is 205323733. The next prime is 205323751. The reversal of 205323741 is 147323502.

It is not a de Polignac number, because 205323741 - 2³ = 205323733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205323751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10200 + ... + 22686.

It is an arithmetic number, because the mean of its divisors is an integer number (9066288).

Almost surely, 2^205323741 is an apocalyptic number.

205323741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205323741 is a deficient number, since it is larger than the sum of its proper divisors (157327779).

205323741 is a wasteful number, since it uses less digits than its factorization.

205323741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 205323741 is about 14329.1221294258. The cubic root of 205323741 is about 589.9470803823.

The spelling of 205323741 in words is "two hundred five million, three hundred twenty-three thousand, seven hundred forty-one".