820434727 has 8 divisors (see below), whose sum is σ = 937956896. Its totient is φ = 702991872.

The previous prime is 820434697. The next prime is 820434731. The reversal of 820434727 is 727434028.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820434727 is a prime.

It is a super-2 number, since 2×820434727² = 1346226282535129058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820434787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4303 + ... + 40735.

It is an arithmetic number, because the mean of its divisors is an integer number (117244612).

Almost surely, 2^820434727 is an apocalyptic number.

820434727 is a deficient number, since it is larger than the sum of its proper divisors (117522169).

820434727 is a wasteful number, since it uses less digits than its factorization.

820434727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39657.

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 820434727 is about 28643.2317834423. The cubic root of 820434727 is about 936.1555396758.

The spelling of 820434727 in words is "eight hundred twenty million, four hundred thirty-four thousand, seven hundred twenty-seven".