205506497 has 8 divisors (see below), whose sum is σ = 235071936. Its totient is φ = 175992912.

The previous prime is 205506467. The next prime is 205506517. The reversal of 205506497 is 794605502.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205506497 - 2⁸ = 205506241 is a prime.

It is a super-3 number, since 3×205506497³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205506497.

It is not an unprimeable number, because it can be changed into a prime (205506437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4058 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (29383992).

Almost surely, 2^205506497 is an apocalyptic number.

It is an amenable number.

205506497 is a deficient number, since it is larger than the sum of its proper divisors (29565439).

205506497 is a wasteful number, since it uses less digits than its factorization.

205506497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25927.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 205506497 is about 14335.4977939380. The cubic root of 205506497 is about 590.1220632253.

The spelling of 205506497 in words is "two hundred five million, five hundred six thousand, four hundred ninety-seven".