803017152 has 140 divisors (see below), whose sum is σ = 2720573680. Its totient is φ = 229423104.

The previous prime is 803017141. The next prime is 803017169. The reversal of 803017152 is 251710308.

803017152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×803017152² = 1289673092812382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25224 + ... + 47352.

Almost surely, 2^803017152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360286840).

803017152 is an abundant number, since it is smaller than the sum of its proper divisors (1917556528).

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

803017152 is a wasteful number, since it uses less digits than its factorization.

803017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22160 (or 22141 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 803017152 is about 28337.5572694613. The cubic root of 803017152 is about 929.4833342450.

The spelling of 803017152 in words is "eight hundred three million, seventeen thousand, one hundred fifty-two".