852008 has 8 divisors (see below), whose sum is σ = 1597530. Its totient is φ = 426000.

The previous prime is 851971. The next prime is 852011. The reversal of 852008 is 800258.

It can be written as a sum of positive squares in only one way, i.e., 465124 + 386884 = 682^2 + 622^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is an unprimeable number.

852008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53243 + ... + 53258.

2⁸⁵²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

852008 is a deficient number, since it is larger than the sum of its proper divisors (745522).

852008 is a wasteful number, since it uses less digits than its factorization.

852008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106507 (or 106503 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 852008 is about 923.0427942409. The cubic root of 852008 is about 94.8013577876.

The spelling of 852008 in words is "eight hundred fifty-two thousand, eight".