820144317 has 8 divisors (see below), whose sum is σ = 1095218496. Its totient is φ = 545916512.

The previous prime is 820144261. The next prime is 820144321. The reversal of 820144317 is 713441028.

820144317 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 820144317 - 2¹² = 820140221 is a prime.

It is a super-3 number, since 3×820144317³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820144337) 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, 209328 + ... + 213209.

It is an arithmetic number, because the mean of its divisors is an integer number (136902312).

Almost surely, 2^820144317 is an apocalyptic number.

It is an amenable number.

820144317 is a deficient number, since it is larger than the sum of its proper divisors (275074179).

820144317 is a wasteful number, since it uses less digits than its factorization.

820144317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423187.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 820144317 is about 28638.1618998147. The cubic root of 820144317 is about 936.0450693745.

The spelling of 820144317 in words is "eight hundred twenty million, one hundred forty-four thousand, three hundred seventeen".