846228101 has 2 divisors, whose sum is σ = 846228102. Its totient is φ = 846228100.

The previous prime is 846228083. The next prime is 846228107. The reversal of 846228101 is 101822648.

It is a happy number.

It is a Cunningham number, because it is equal to 29090²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 846228100 + 1 = 29090^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 846228101 - 2¹⁰ = 846227077 is a prime.

It is a super-2 number, since 2×846228101² = 1432203997844132402, which contains 22 as substring.

It is equal to p_43398410 and since 846228101 and 43398410 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (846228107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 423114050 + 423114051.

It is an arithmetic number, because the mean of its divisors is an integer number (423114051).

Almost surely, 2^846228101 is an apocalyptic number.

It is an amenable number.

846228101 is a deficient number, since it is larger than the sum of its proper divisors (1).

846228101 is an equidigital number, since it uses as much as digits as its factorization.

846228101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 846228101 is about 29090.0000171880. Note that the first 4 decimals coincide. The cubic root of 846228101 is about 945.8649829581.

It can be divided in two parts, 8462 and 28101, that added together give a palindrome (36563).

The spelling of 846228101 in words is "eight hundred forty-six million, two hundred twenty-eight thousand, one hundred one".