820245517 has 8 divisors (see below), whose sum is σ = 1009533056. Its totient is φ = 648985392.

The previous prime is 820245479. The next prime is 820245521. The reversal of 820245517 is 715542028.

It is a happy number.

820245517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 820245517 - 2²⁷ = 686027789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820245017) 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, 4506753 + ... + 4506934.

It is an arithmetic number, because the mean of its divisors is an integer number (126191632).

Almost surely, 2^820245517 is an apocalyptic number.

It is an amenable number.

820245517 is a deficient number, since it is larger than the sum of its proper divisors (189287539).

820245517 is a wasteful number, since it uses less digits than its factorization.

820245517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013707.

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 820245517 is about 28639.9287184867. The cubic root of 820245517 is about 936.0835682350.

The spelling of 820245517 in words is "eight hundred twenty million, two hundred forty-five thousand, five hundred seventeen".