852617 has 2 divisors, whose sum is σ = 852618. Its totient is φ = 852616.

The previous prime is 852613. The next prime is 852623. The reversal of 852617 is 716258.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 395641 = 676^2 + 629^2 .

It is a cyclic number.

It is not a de Polignac number, because 852617 - 2² = 852613 is a prime.

It is a Chen prime.

It is equal to p₆₇₈₀₈ and since 852617 and 67808 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 852617.

It is not a weakly prime, because it can be changed into another prime (852613) 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 as a sum of consecutive naturals, namely, 426308 + 426309.

It is an arithmetic number, because the mean of its divisors is an integer number (426309).

2⁸⁵²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

852617 is a deficient number, since it is larger than the sum of its proper divisors (1).

852617 is an equidigital number, since it uses as much as digits as its factorization.

852617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 29.

The square root of 852617 is about 923.3726225095. The cubic root of 852617 is about 94.8239398435.

It can be divided in two parts, 8 and 52617, that added together give a palindrome (52625).

The spelling of 852617 in words is "eight hundred fifty-two thousand, six hundred seventeen".