820903067165 has 16 divisors (see below), whose sum is σ = 985695963840. Its totient is φ = 656314414080.

The previous prime is 820903067147. The next prime is 820903067197. The reversal of 820903067165 is 561760309028.

It is not a de Polignac number, because 820903067165 - 2³² = 816608099869 is a prime.

It is a super-2 number, since 2×820903067165² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79950362 + ... + 79960628.

It is an arithmetic number, because the mean of its divisors is an integer number (61605997740).

Almost surely, 2^820903067165 is an apocalyptic number.

It is an amenable number.

820903067165 is a deficient number, since it is larger than the sum of its proper divisors (164792896675).

820903067165 is a wasteful number, since it uses less digits than its factorization.

820903067165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 820903067165 in words is "eight hundred twenty billion, nine hundred three million, sixty-seven thousand, one hundred sixty-five".