97819904 has 216 divisors, whose sum is σ = 269317440. Its totient is φ = 34504704.

The previous prime is 97819903. The next prime is 97819907. The reversal of 97819904 is 40991879.

97819904 = 847² + 848² + ... + 965².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97819903) 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 23 ways as a sum of consecutive naturals, for example, 5148407 + ... + 5148425.

It is an arithmetic number, because the mean of its divisors is an integer number (1246840).

Almost surely, 2^97819904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134658720).

97819904 is an abundant number, since it is smaller than the sum of its proper divisors (171497536).

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

97819904 is a wasteful number, since it uses less digits than its factorization.

97819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 97819904 is about 9890.3945320700. The cubic root of 97819904 is about 460.7610338707.

The spelling of 97819904 in words is "ninety-seven million, eight hundred nineteen thousand, nine hundred four".