97967945 has 16 divisors (see below), whose sum is σ = 121934160. Its totient is φ = 75473664.

The previous prime is 97967941. The next prime is 97967999. The reversal of 97967945 is 54976979.

It can be written as a sum of positive squares in 8 ways, for example, as 30514576 + 67453369 = 5524^2 + 8213^2 .

It is a cyclic number.

It is not a de Polignac number, because 97967945 - 2² = 97967941 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97967941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80159 + ... + 81371.

It is an arithmetic number, because the mean of its divisors is an integer number (7620885).

Almost surely, 2^97967945 is an apocalyptic number.

It is an amenable number.

97967945 is a deficient number, since it is larger than the sum of its proper divisors (23966215).

97967945 is a wasteful number, since it uses less digits than its factorization.

97967945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804.

The product of its digits is 4286520, while the sum is 56.

The square root of 97967945 is about 9897.8757822070. The cubic root of 97967945 is about 460.9933558549.

The spelling of 97967945 in words is "ninety-seven million, nine hundred sixty-seven thousand, nine hundred forty-five".