813284024 has 32 divisors (see below), whose sum is σ = 1745217120. Its totient is φ = 348057216.

The previous prime is 813284009. The next prime is 813284057. The reversal of 813284024 is 420482318.

It is a super-5 number, since 5×813284024⁵ (a number of 46 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31142 + ... + 50954.

It is an arithmetic number, because the mean of its divisors is an integer number (54538035).

Almost surely, 2^813284024 is an apocalyptic number.

It is an amenable number.

813284024 is an abundant number, since it is smaller than the sum of its proper divisors (931933096).

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

813284024 is a wasteful number, since it uses less digits than its factorization.

813284024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20559 (or 20555 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 813284024 is about 28518.1350021350. The cubic root of 813284024 is about 933.4278340822.

The spelling of 813284024 in words is "eight hundred thirteen million, two hundred eighty-four thousand, twenty-four".