97606314 has 48 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 29933568.

The previous prime is 97606297. The next prime is 97606351. The reversal of 97606314 is 41360679.

It can be written as a sum of positive squares in 4 ways, for example, as 42029289 + 55577025 = 6483^2 + 7455^2 .

It is a super-3 number, since 3×97606314³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104602 + ... + 105530.

Almost surely, 2^97606314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97606314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

97606314 is an abundant number, since it is smaller than the sum of its proper divisors (130894686).

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

97606314 is a wasteful number, since it uses less digits than its factorization.

97606314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97606314 is about 9879.5907809990. The cubic root of 97606314 is about 460.4254318741.

The spelling of 97606314 in words is "ninety-seven million, six hundred six thousand, three hundred fourteen".