97205700 has 72 divisors (see below), whose sum is σ = 282704128. Its totient is φ = 25787520.

The previous prime is 97205681. The next prime is 97205743. The reversal of 97205700 is 750279.

It is a happy number.

It is a super-2 number, since 2×97205700² = 18897896224980000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66174 + ... + 67626.

Almost surely, 2^97205700 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 97205700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141352064).

97205700 is an abundant number, since it is smaller than the sum of its proper divisors (185498428).

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

97205700 is a wasteful number, since it uses less digits than its factorization.

97205700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 97205700 is about 9859.2951066494. The cubic root of 97205700 is about 459.7946468402.

Adding to 97205700 its reverse (750279), we get a palindrome (97955979).

The spelling of 97205700 in words is "ninety-seven million, two hundred five thousand, seven hundred".