852101 has 2 divisors, whose sum is σ = 852102. Its totient is φ = 852100.

The previous prime is 852079. The next prime is 852121. The reversal of 852101 is 101258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801025 + 51076 = 895^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 852101 - 2⁶ = 852037 is a prime.

It is a super-2 number, since 2×852101² = 1452152228402, which contains 22 as substring.

It is a Sophie Germain prime.

It is an Ulam number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 852101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (852121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426050 + 426051.

It is an arithmetic number, because the mean of its divisors is an integer number (426051).

2⁸⁵²¹⁰¹ is an apocalyptic number.

It is an amenable number.

852101 is a deficient number, since it is larger than the sum of its proper divisors (1).

852101 is an equidigital number, since it uses as much as digits as its factorization.

852101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 852101 is about 923.0931697288. The cubic root of 852101 is about 94.8048069749.

Adding to 852101 its reverse (101258), we get a palindrome (953359).

The spelling of 852101 in words is "eight hundred fifty-two thousand, one hundred one".