97966 has 16 divisors (see below), whose sum is σ = 165168. Its totient is φ = 43200.

The previous prime is 97961. The next prime is 97967. The reversal of 97966 is 66979.

97966 = 6² + 7² + ... + 66².

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306 + ... + 1378.

It is an arithmetic number, because the mean of its divisors is an integer number (10323).

97966 is a Friedman number, since it can be written as 7^6-(9-6)^9, using all its digits and the basic arithmetic operations.

2⁹⁷⁹⁶⁶ is an apocalyptic number.

97966 is a deficient number, since it is larger than the sum of its proper divisors (67202).

97966 is a wasteful number, since it uses less digits than its factorization.

97966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 20412, while the sum is 37.

The square root of 97966 is about 312.9952076310. The cubic root of 97966 is about 46.0990305068.

The spelling of 97966 in words is "ninety-seven thousand, nine hundred sixty-six".