813190329 has 144 divisors (see below), whose sum is σ = 1536300480. Its totient is φ = 411505920.

The previous prime is 813190321. The next prime is 813190337. The reversal of 813190329 is 923091318.

It is an interprime number because it is at equal distance from previous prime (813190321) and next prime (813190337).

It is not a de Polignac number, because 813190329 - 2³ = 813190321 is a prime.

It is a super-2 number, since 2×813190329² = 1322557022358256482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813190293 and 813190302.

It is not an unprimeable number, because it can be changed into a prime (813190321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13330959 + ... + 13331019.

Almost surely, 2^813190329 is an apocalyptic number.

It is an amenable number.

813190329 is a deficient number, since it is larger than the sum of its proper divisors (723110151).

813190329 is a wasteful number, since it uses less digits than its factorization.

813190329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 813190329 is about 28516.4922281826. The cubic root of 813190329 is about 933.3919872861.

The spelling of 813190329 in words is "eight hundred thirteen million, one hundred ninety thousand, three hundred twenty-nine".