823288013 has 8 divisors (see below), whose sum is σ = 863539008. Its totient is φ = 783408384.

The previous prime is 823288001. The next prime is 823288021. The reversal of 823288013 is 310882328.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 823288013 - 2¹⁴ = 823271629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823288033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88295 + ... + 97172.

It is an arithmetic number, because the mean of its divisors is an integer number (107942376).

Almost surely, 2^823288013 is an apocalyptic number.

It is an amenable number.

823288013 is a deficient number, since it is larger than the sum of its proper divisors (40250995).

823288013 is a wasteful number, since it uses less digits than its factorization.

823288013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185683.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 823288013 is about 28692.9958874984. The cubic root of 823288013 is about 937.2395296063.

The spelling of 823288013 in words is "eight hundred twenty-three million, two hundred eighty-eight thousand, thirteen".