97616 has 10 divisors (see below), whose sum is σ = 189162. Its totient is φ = 48800.

The previous prime is 97613. The next prime is 97649. The reversal of 97616 is 61679.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 10000 = 296^2 + 100^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a zygodrome in base 4 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3035 + ... + 3066.

2⁹⁷⁶¹⁶ is an apocalyptic number.

It is an amenable number.

97616 is a deficient number, since it is larger than the sum of its proper divisors (91546).

97616 is a wasteful number, since it uses less digits than its factorization.

97616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6103 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 97616 is about 312.4355933629. The cubic root of 97616 is about 46.0440661535.

Subtracting from 97616 its reverse (61679), we obtain a cube (35937 = 33³).

The spelling of 97616 in words is "ninety-seven thousand, six hundred sixteen".