97953800 has 192 divisors, whose sum is σ = 280458240. Its totient is φ = 31104000.

The previous prime is 97953773. The next prime is 97953827. The reversal of 97953800 is 835979.

It is an interprime number because it is at equal distance from previous prime (97953773) and next prime (97953827).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1605770 + ... + 1605830.

It is an arithmetic number, because the mean of its divisors is an integer number (1460720).

Almost surely, 2^97953800 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 97953800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140229120).

97953800 is an abundant number, since it is smaller than the sum of its proper divisors (182504440).

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

97953800 is a wasteful number, since it uses less digits than its factorization.

97953800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 97953800 is about 9897.1612091549. The cubic root of 97953800 is about 460.9711681047.

The spelling of 97953800 in words is "ninety-seven million, nine hundred fifty-three thousand, eight hundred".