852126821 has 32 divisors (see below), whose sum is σ = 1079059968. Its totient is φ = 654888960.

The previous prime is 852126809. The next prime is 852126833. The reversal of 852126821 is 128621258.

It is a happy number.

852126821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (852126809) and next prime (852126833).

It is a cyclic number.

It is not a de Polignac number, because 852126821 - 2⁶ = 852126757 is a prime.

It is a super-2 number, since 2×852126821² = 1452240238135132082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852126881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316720 + ... + 1317366.

It is an arithmetic number, because the mean of its divisors is an integer number (33720624).

Almost surely, 2^852126821 is an apocalyptic number.

It is an amenable number.

852126821 is a deficient number, since it is larger than the sum of its proper divisors (226933147).

852126821 is a wasteful number, since it uses less digits than its factorization.

852126821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061.

The product of its digits is 15360, while the sum is 35.

The square root of 852126821 is about 29191.2113657519. The cubic root of 852126821 is about 948.0576458059.

The spelling of 852126821 in words is "eight hundred fifty-two million, one hundred twenty-six thousand, eight hundred twenty-one".