8914100 has 36 divisors (see below), whose sum is σ = 20834604. Its totient is φ = 3290880.

The previous prime is 8914099. The next prime is 8914109. The reversal of 8914100 is 14198.

It can be written as a sum of positive squares in 6 ways, for example, as 3587236 + 5326864 = 1894^2 + 2308^2 .

It is a super-2 number, since 2×8914100² = 158922357620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8914109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2129 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (578739).

Almost surely, 2^8914100 is an apocalyptic number.

It is an amenable number.

8914100 is an abundant number, since it is smaller than the sum of its proper divisors (11920504).

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

8914100 is a wasteful number, since it uses less digits than its factorization.

8914100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 8914100 is about 2985.6490081723. The cubic root of 8914100 is about 207.3444908291.

Adding to 8914100 its reverse (14198), we get a palindrome (8928298).

The spelling of 8914100 in words is "eight million, nine hundred fourteen thousand, one hundred".