820313274 has 32 divisors (see below), whose sum is σ = 1895057856. Its totient is φ = 233957120.

The previous prime is 820313237. The next prime is 820313287. The reversal of 820313274 is 472313028.

It is a super-3 number, since 3×820313274³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 364437 + ... + 366680.

It is an arithmetic number, because the mean of its divisors is an integer number (59220558).

Almost surely, 2^820313274 is an apocalyptic number.

820313274 is an abundant number, since it is smaller than the sum of its proper divisors (1074744582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820313274 is a wasteful number, since it uses less digits than its factorization.

820313274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731150.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 820313274 is about 28641.1116055226. Note that the first 3 decimals coincide. The cubic root of 820313274 is about 936.1093428219.

The spelling of 820313274 in words is "eight hundred twenty million, three hundred thirteen thousand, two hundred seventy-four".