97964 has 12 divisors (see below), whose sum is σ = 180600. Its totient is φ = 46368.

The previous prime is 97961. The next prime is 97967. The reversal of 97964 is 46979.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97961) and next prime (97967).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (97961) 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 3 ways as a sum of consecutive naturals, for example, 569 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (15050).

2⁹⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

97964 is a deficient number, since it is larger than the sum of its proper divisors (82636).

97964 is a wasteful number, since it uses less digits than its factorization.

97964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 97964 is about 312.9920126776. The cubic root of 97964 is about 46.0987167970.

The spelling of 97964 in words is "ninety-seven thousand, nine hundred sixty-four".