97814000 has 40 divisors (see below), whose sum is σ = 236519088. Its totient is φ = 39124800.

The previous prime is 97813999. The next prime is 97814011. The reversal of 97814000 is 41879.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22454 + ... + 26453.

Almost surely, 2^97814000 is an apocalyptic number.

It is an amenable number.

97814000 is an abundant number, since it is smaller than the sum of its proper divisors (138705088).

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

97814000 is a wasteful number, since it uses less digits than its factorization.

97814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48930 (or 48914 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 97814000 is about 9890.0960561564. The cubic root of 97814000 is about 460.7517638150.

Adding to 97814000 its reverse (41879), we get a palindrome (97855879).

The spelling of 97814000 in words is "ninety-seven million, eight hundred fourteen thousand".