89314900 has 18 divisors (see below), whose sum is σ = 193813550. Its totient is φ = 35725920.

The previous prime is 89314873. The next prime is 89314903. The reversal of 89314900 is 941398.

It can be written as a sum of positive squares in 3 ways, for example, as 427716 + 88887184 = 654^2 + 9428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89314903) 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, 446475 + ... + 446674.

Almost surely, 2^89314900 is an apocalyptic number.

It is an amenable number.

89314900 is an abundant number, since it is smaller than the sum of its proper divisors (104498650).

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

89314900 is a wasteful number, since it uses less digits than its factorization.

89314900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893163 (or 893156 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 89314900 is about 9450.6560618827. The cubic root of 89314900 is about 447.0004621075. Note that the first 3 decimals are identical.

It can be divided in two parts, 8931 and 4900, that added together give a palindrome (13831).

The spelling of 89314900 in words is "eighty-nine million, three hundred fourteen thousand, nine hundred".