97667 has 4 divisors (see below), whose sum is σ = 98736. Its totient is φ = 96600.

The previous prime is 97651. The next prime is 97673. The reversal of 97667 is 76679.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 97667 - 2⁴ = 97651 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (97607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (24684).

2⁹⁷⁶⁶⁷ is an apocalyptic number.

97667 is a deficient number, since it is larger than the sum of its proper divisors (1069).

97667 is a wasteful number, since it uses less digits than its factorization.

97667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068.

The product of its digits is 15876, while the sum is 35.

The square root of 97667 is about 312.5171995267. The cubic root of 97667 is about 46.0520834135.

The spelling of 97667 in words is "ninety-seven thousand, six hundred sixty-seven".