205357397 has 16 divisors (see below), whose sum is σ = 241218432. Its totient is φ = 171156480.

The previous prime is 205357367. The next prime is 205357403. The reversal of 205357397 is 793753502.

It is a cyclic number.

It is not a de Polignac number, because 205357397 - 2¹⁴ = 205341013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205357307) 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 15 ways as a sum of consecutive naturals, for example, 100298 + ... + 102324.

It is an arithmetic number, because the mean of its divisors is an integer number (15076152).

Almost surely, 2^205357397 is an apocalyptic number.

It is an amenable number.

205357397 is a deficient number, since it is larger than the sum of its proper divisors (35861035).

205357397 is a wasteful number, since it uses less digits than its factorization.

205357397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428.

The product of its (nonzero) digits is 198450, while the sum is 41.

The square root of 205357397 is about 14330.2964728578. The cubic root of 205357397 is about 589.9793126903.

The spelling of 205357397 in words is "two hundred five million, three hundred fifty-seven thousand, three hundred ninety-seven".