97221335400 has 768 divisors, whose sum is σ = 392257036800. Its totient is φ = 21946982400.

The previous prime is 97221335381. The next prime is 97221335509. The reversal of 97221335400 is 453312279.

97221335400 is a `hidden beast` number, since 9 + 7 + 2 + 213 + 35 + 400 = 666.

It is a super-3 number, since 3×97221335400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345983260 + ... + 345983540.

It is an arithmetic number, because the mean of its divisors is an integer number (510751350).

Almost surely, 2^97221335400 is an apocalyptic number.

97221335400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97221335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196128518400).

97221335400 is an abundant number, since it is smaller than the sum of its proper divisors (295035701400).

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

97221335400 is a wasteful number, since it uses less digits than its factorization.

97221335400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 97221335400 its reverse (453312279), we get a palindrome (97674647679).

The spelling of 97221335400 in words is "ninety-seven billion, two hundred twenty-one million, three hundred thirty-five thousand, four hundred".