820272621 has 32 divisors (see below), whose sum is σ = 1309206528. Its totient is φ = 446656320.

The previous prime is 820272589. The next prime is 820272631. The reversal of 820272621 is 126272028.

It is not a de Polignac number, because 820272621 - 2⁵ = 820272589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820272631) 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 31 ways as a sum of consecutive naturals, for example, 130726 + ... + 136856.

It is an arithmetic number, because the mean of its divisors is an integer number (40912704).

Almost surely, 2^820272621 is an apocalyptic number.

It is an amenable number.

820272621 is a deficient number, since it is larger than the sum of its proper divisors (488933907).

820272621 is a wasteful number, since it uses less digits than its factorization.

820272621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441.

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

The square root of 820272621 is about 28640.4019001131. The cubic root of 820272621 is about 936.0938786966.

It can be divided in two parts, 82027 and 2621, that added together give a palindrome (84648).

The spelling of 820272621 in words is "eight hundred twenty million, two hundred seventy-two thousand, six hundred twenty-one".