97281667 has 16 divisors (see below), whose sum is σ = 118402560. Its totient is φ = 78023808.

The previous prime is 97281647. The next prime is 97281673. The reversal of 97281667 is 76618279.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 97281667 - 2¹⁹ = 96757379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97281637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19018 + ... + 23584.

It is an arithmetic number, because the mean of its divisors is an integer number (7400160).

Almost surely, 2^97281667 is an apocalyptic number.

97281667 is a deficient number, since it is larger than the sum of its proper divisors (21120893).

97281667 is a wasteful number, since it uses less digits than its factorization.

97281667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770.

The product of its digits is 254016, while the sum is 46.

The square root of 97281667 is about 9863.1469116099. The cubic root of 97281667 is about 459.9143933322.

The spelling of 97281667 in words is "ninety-seven million, two hundred eighty-one thousand, six hundred sixty-seven".