205713351 has 24 divisors (see below), whose sum is σ = 311176320. Its totient is φ = 135794232.

The previous prime is 205713331. The next prime is 205713371. The reversal of 205713351 is 153317502.

It is an interprime number because it is at equal distance from previous prime (205713331) and next prime (205713371).

It is not a de Polignac number, because 205713351 - 2⁹ = 205712839 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (205713331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20920 + ... + 29138.

It is an arithmetic number, because the mean of its divisors is an integer number (12965680).

Almost surely, 2^205713351 is an apocalyptic number.

205713351 is a deficient number, since it is larger than the sum of its proper divisors (105462969).

205713351 is an equidigital number, since it uses as much as digits as its factorization.

205713351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 205713351 is about 14342.7107270557. The cubic root of 205713351 is about 590.3199939922.

The spelling of 205713351 in words is "two hundred five million, seven hundred thirteen thousand, three hundred fifty-one".