97164144 has 320 divisors, whose sum is σ = 365690880. Its totient is φ = 23950080.

The previous prime is 97164131. The next prime is 97164149. The reversal of 97164144 is 44146179.

97164144 is a `hidden beast` number, since 9 + 7 + 1 + 641 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 97164099 and 97164108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97164149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765009 + ... + 765135.

It is an arithmetic number, because the mean of its divisors is an integer number (1142784).

Almost surely, 2^97164144 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 97164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845440).

97164144 is an abundant number, since it is smaller than the sum of its proper divisors (268526736).

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

97164144 is a wasteful number, since it uses less digits than its factorization.

97164144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 97164144 is about 9857.1874284707. The cubic root of 97164144 is about 459.7291158758.

The spelling of 97164144 in words is "ninety-seven million, one hundred sixty-four thousand, one hundred forty-four".