97135668 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 26611200.

The previous prime is 97135651. The next prime is 97135669. The reversal of 97135668 is 86653179.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97135669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091368 + ... + 1091456.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^97135668 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 97135668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

97135668 is an abundant number, since it is smaller than the sum of its proper divisors (195345612).

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

97135668 is a wasteful number, since it uses less digits than its factorization.

97135668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 97135668 is about 9855.7428943738. The cubic root of 97135668 is about 459.6842003858.

The spelling of 97135668 in words is "ninety-seven million, one hundred thirty-five thousand, six hundred sixty-eight".