820347273 has 24 divisors (see below), whose sum is σ = 1227470400. Its totient is φ = 527323104.

The previous prime is 820347247. The next prime is 820347289. The reversal of 820347273 is 372743028.

It is not a de Polignac number, because 820347273 - 2¹⁰ = 820346249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820347673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245508 + ... + 248826.

It is an arithmetic number, because the mean of its divisors is an integer number (51144600).

Almost surely, 2^820347273 is an apocalyptic number.

It is an amenable number.

820347273 is a deficient number, since it is larger than the sum of its proper divisors (407123127).

820347273 is a wasteful number, since it uses less digits than its factorization.

820347273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 820347273 is about 28641.7051342967. The cubic root of 820347273 is about 936.1222754184.

The spelling of 820347273 in words is "eight hundred twenty million, three hundred forty-seven thousand, two hundred seventy-three".