8252101 has 24 divisors (see below), whose sum is σ = 10224576. Its totient is φ = 6589440.

The previous prime is 8252093. The next prime is 8252129. The reversal of 8252101 is 1012528.

8252101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8252101 - 2³ = 8252093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8252801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42661 + ... + 42853.

It is an arithmetic number, because the mean of its divisors is an integer number (426024).

Almost surely, 2^8252101 is an apocalyptic number.

It is an amenable number.

8252101 is a deficient number, since it is larger than the sum of its proper divisors (1972475).

8252101 is a wasteful number, since it uses less digits than its factorization.

8252101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

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

The square root of 8252101 is about 2872.6470371419. The cubic root of 8252101 is about 202.0791523940.

Adding to 8252101 its reverse (1012528), we get a palindrome (9264629).

It can be divided in two parts, 825 and 2101, that added together give a triangular number (2926 = T₇₆).

The spelling of 8252101 in words is "eight million, two hundred fifty-two thousand, one hundred one".