820127261 has 8 divisors (see below), whose sum is σ = 875688000. Its totient is φ = 766225152.

The previous prime is 820127207. The next prime is 820127263. The reversal of 820127261 is 162721028.

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 820127261 - 2²⁶ = 753018397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820127263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413636 + ... + 415613.

It is an arithmetic number, because the mean of its divisors is an integer number (109461000).

Almost surely, 2^820127261 is an apocalyptic number.

It is an amenable number.

820127261 is a deficient number, since it is larger than the sum of its proper divisors (55560739).

820127261 is a wasteful number, since it uses less digits than its factorization.

820127261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829315.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 820127261 is about 28637.8641137917. The cubic root of 820127261 is about 936.0385805590.

Adding to 820127261 its reverse (162721028), we get a palindrome (982848289).

The spelling of 820127261 in words is "eight hundred twenty million, one hundred twenty-seven thousand, two hundred sixty-one".