205713342 has 48 divisors (see below), whose sum is σ = 474888960. Its totient is φ = 64170576.

The previous prime is 205713331. The next prime is 205713371. The reversal of 205713342 is 243317502.

205713342 is a `hidden beast` number, since 20 + 571 + 33 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24763 + ... + 32009.

It is an arithmetic number, because the mean of its divisors is an integer number (9893520).

Almost surely, 2^205713342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205713342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237444480).

205713342 is an abundant number, since it is smaller than the sum of its proper divisors (269175618).

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

205713342 is a wasteful number, since it uses less digits than its factorization.

205713342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7354 counting only the distinct ones).

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

The square root of 205713342 is about 14342.7104133075. The cubic root of 205713342 is about 590.3199853833.

The spelling of 205713342 in words is "two hundred five million, seven hundred thirteen thousand, three hundred forty-two".