819320229 has 72 divisors (see below), whose sum is σ = 1491241752. Its totient is φ = 429649920.

The previous prime is 819320221. The next prime is 819320233. The reversal of 819320229 is 922023918.

It can be written as a sum of positive squares in 4 ways, for example, as 116964225 + 702356004 = 10815^2 + 26502^2 .

It is not a de Polignac number, because 819320229 - 2³ = 819320221 is a prime.

It is a super-2 number, since 2×819320229² = 1342571275297224882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 819320193 and 819320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819320221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1381357 + ... + 1381949.

It is an arithmetic number, because the mean of its divisors is an integer number (20711691).

Almost surely, 2^819320229 is an apocalyptic number.

It is an amenable number.

819320229 is a deficient number, since it is larger than the sum of its proper divisors (671921523).

819320229 is a wasteful number, since it uses less digits than its factorization.

819320229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 819320229 is about 28623.7703491347. The cubic root of 819320229 is about 935.7314489536.

The spelling of 819320229 in words is "eight hundred nineteen million, three hundred twenty thousand, two hundred twenty-nine".