820261147 has 8 divisors (see below), whose sum is σ = 847055232. Its totient is φ = 793488000.

The previous prime is 820261133. The next prime is 820261157. The reversal of 820261147 is 741162028.

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 820261147 - 2²³ = 811872539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820261157) 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, 131397 + ... + 137497.

It is an arithmetic number, because the mean of its divisors is an integer number (105881904).

Almost surely, 2^820261147 is an apocalyptic number.

820261147 is a deficient number, since it is larger than the sum of its proper divisors (26794085).

820261147 is a wasteful number, since it uses less digits than its factorization.

820261147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 820261147 is about 28640.2015879777. The cubic root of 820261147 is about 936.0895139724.

The spelling of 820261147 in words is "eight hundred twenty million, two hundred sixty-one thousand, one hundred forty-seven".