97967101 has 2 divisors, whose sum is σ = 97967102. Its totient is φ = 97967100.

The previous prime is 97967069. The next prime is 97967113. The reversal of 97967101 is 10176979.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95043001 + 2924100 = 9749^2 + 1710^2 .

It is a cyclic number.

It is not a de Polignac number, because 97967101 - 2⁵ = 97967069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97967131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48983550 + 48983551.

It is an arithmetic number, because the mean of its divisors is an integer number (48983551).

Almost surely, 2^97967101 is an apocalyptic number.

It is an amenable number.

97967101 is a deficient number, since it is larger than the sum of its proper divisors (1).

97967101 is an equidigital number, since it uses as much as digits as its factorization.

97967101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23814, while the sum is 40.

The square root of 97967101 is about 9897.8331467044. The cubic root of 97967101 is about 460.9920320222.

The spelling of 97967101 in words is "ninety-seven million, nine hundred sixty-seven thousand, one hundred one".