852005733 has 16 divisors (see below), whose sum is σ = 1202073600. Its totient is φ = 535284720.

The previous prime is 852005731. The next prime is 852005747. The reversal of 852005733 is 337500258.

It is not a de Polignac number, because 852005733 - 2¹ = 852005731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 852005694 and 852005703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852005731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28243 + ... + 50016.

It is an arithmetic number, because the mean of its divisors is an integer number (75129600).

Almost surely, 2^852005733 is an apocalyptic number.

It is an amenable number.

852005733 is a deficient number, since it is larger than the sum of its proper divisors (350067867).

852005733 is a wasteful number, since it uses less digits than its factorization.

852005733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78472.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 852005733 is about 29189.1372431595. The cubic root of 852005733 is about 948.0127370594.

The spelling of 852005733 in words is "eight hundred fifty-two million, five thousand, seven hundred thirty-three".