97761300 has 144 divisors (see below), whose sum is σ = 348227712. Its totient is φ = 20620800.

The previous prime is 97761281. The next prime is 97761311. The reversal of 97761300 is 316779.

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 47 ways as a sum of consecutive naturals, for example, 25510 + ... + 29090.

It is an arithmetic number, because the mean of its divisors is an integer number (2418248).

Almost surely, 2^97761300 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 97761300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174113856).

97761300 is an abundant number, since it is smaller than the sum of its proper divisors (250466412).

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

97761300 is a wasteful number, since it uses less digits than its factorization.

97761300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 97761300 is about 9887.4314156913. The cubic root of 97761300 is about 460.6690013609.

The spelling of 97761300 in words is "ninety-seven million, seven hundred sixty-one thousand, three hundred".