8214100 has 18 divisors (see below), whose sum is σ = 17824814. Its totient is φ = 3285600.

The previous prime is 8214097. The next prime is 8214103. The reversal of 8214100 is 14128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8214097) and next prime (8214103).

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 8213956 = 12^2 + 2866^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214103) 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 in 5 ways as a sum of consecutive naturals, for example, 40971 + ... + 41170.

Almost surely, 2^8214100 is an apocalyptic number.

It is an amenable number.

8214100 is an abundant number, since it is smaller than the sum of its proper divisors (9610714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8214100 is a wasteful number, since it uses less digits than its factorization.

8214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82155 (or 82148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8214100 is about 2866.0251220113. The cubic root of 8214100 is about 201.7684829160.

Adding to 8214100 its reverse (14128), we get a palindrome (8228228).

The spelling of 8214100 in words is "eight million, two hundred fourteen thousand, one hundred".