852121 has 2 divisors, whose sum is σ = 852122. Its totient is φ = 852120.

The previous prime is 852101. The next prime is 852139. The reversal of 852121 is 121258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 105625 = 864^2 + 325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-852121 is a prime.

It is a super-2 number, since 2×852121² = 1452220397282, which contains 22 as substring.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (852101) 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, 426060 + 426061.

It is an arithmetic number, because the mean of its divisors is an integer number (426061).

2⁸⁵²¹²¹ is an apocalyptic number.

It is an amenable number.

852121 is a deficient number, since it is larger than the sum of its proper divisors (1).

852121 is an equidigital number, since it uses as much as digits as its factorization.

852121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160, while the sum is 19.

The square root of 852121 is about 923.1040028079. The cubic root of 852121 is about 94.8055487029.

Adding to 852121 its reverse (121258), we get a palindrome (973379).

The spelling of 852121 in words is "eight hundred fifty-two thousand, one hundred twenty-one".