97617312 has 120 divisors (see below), whose sum is σ = 309280356. Its totient is φ = 30025728.

The previous prime is 97617301. The next prime is 97617319. The reversal of 97617312 is 21371679.

It is a happy number.

97617312 is a `hidden beast` number, since 9 + 7 + 617 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 15968016 = 9036^2 + 3996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97617319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32248 + ... + 35144.

Almost surely, 2^97617312 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 97617312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154640178).

97617312 is an abundant number, since it is smaller than the sum of its proper divisors (211663044).

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

97617312 is a wasteful number, since it uses less digits than its factorization.

97617312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2915 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 97617312 is about 9880.1473673220. The cubic root of 97617312 is about 460.4427243644.

The spelling of 97617312 in words is "ninety-seven million, six hundred seventeen thousand, three hundred twelve".