97161120 has 504 divisors, whose sum is σ = 423896004. Its totient is φ = 20901888.

The previous prime is 97161109. The next prime is 97161121. The reversal of 97161120 is 2116179.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 571536 = 9828^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (97161121) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 5715352 + ... + 5715368.

Almost surely, 2^97161120 is an apocalyptic number.

97161120 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 97161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211948002).

97161120 is an abundant number, since it is smaller than the sum of its proper divisors (326734884).

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

97161120 is a wasteful number, since it uses less digits than its factorization.

97161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 97161120 is about 9857.0340366664. The cubic root of 97161120 is about 459.7243465058.

Adding to 97161120 its reverse (2116179), we get a palindrome (99277299).

The spelling of 97161120 in words is "ninety-seven million, one hundred sixty-one thousand, one hundred twenty".