97919200 has 36 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 39167360.

The previous prime is 97919183. The next prime is 97919203. The reversal of 97919200 is 291979.

It is a self number, because there is not a number n which added to its sum of digits gives 97919200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97919203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60400 + ... + 61999.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^97919200 is an apocalyptic number.

It is an amenable number.

97919200 is an abundant number, since it is smaller than the sum of its proper divisors (141128000).

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

97919200 is a wasteful number, since it uses less digits than its factorization.

97919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122419 (or 122406 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 97919200 is about 9895.4130787956. The cubic root of 97919200 is about 460.9168857773.

The spelling of 97919200 in words is "ninety-seven million, nine hundred nineteen thousand, two hundred".