852967 has 4 divisors (see below), whose sum is σ = 897880. Its totient is φ = 808056.

The previous prime is 852959. The next prime is 852989. The reversal of 852967 is 769258.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 852967 - 2³ = 852959 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22428 + ... + 22465.

It is an arithmetic number, because the mean of its divisors is an integer number (224470).

2⁸⁵²⁹⁶⁷ is an apocalyptic number.

852967 is a deficient number, since it is larger than the sum of its proper divisors (44913).

852967 is a wasteful number, since it uses less digits than its factorization.

852967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44912.

The product of its digits is 30240, while the sum is 37.

The square root of 852967 is about 923.5621256851. The cubic root of 852967 is about 94.8369131709.

It can be divided in two parts, 8 and 52967, that added together give a triangular number (52975 = T₃₂₅).

The spelling of 852967 in words is "eight hundred fifty-two thousand, nine hundred sixty-seven".