852561 has 12 divisors (see below), whose sum is σ = 1260688. Its totient is φ = 554904.

The previous prime is 852559. The next prime is 852563. The reversal of 852561 is 165258.

It is an interprime number because it is at equal distance from previous prime (852559) and next prime (852563).

It is not a de Polignac number, because 852561 - 2¹ = 852559 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715 + ... + 1488.

2⁸⁵²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

852561 is a deficient number, since it is larger than the sum of its proper divisors (408127).

852561 is a wasteful number, since it uses less digits than its factorization.

852561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2249 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 852561 is about 923.3422983921. The cubic root of 852561 is about 94.8218637816.

It can be divided in two parts, 8525 and 61, that multiplied together give a palindrome (520025).

The spelling of 852561 in words is "eight hundred fifty-two thousand, five hundred sixty-one".