97607 has 2 divisors, whose sum is σ = 97608. Its totient is φ = 97606.

The previous prime is 97583. The next prime is 97609. The reversal of 97607 is 70679.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 97607 - 2¹⁴ = 81223 is a prime.

Together with 97609, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 97607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97607.

It is not a weakly prime, because it can be changed into another prime (97609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48803 + 48804.

It is an arithmetic number, because the mean of its divisors is an integer number (48804).

2⁹⁷⁶⁰⁷ is an apocalyptic number.

97607 is a deficient number, since it is larger than the sum of its proper divisors (1).

97607 is an equidigital number, since it uses as much as digits as its factorization.

97607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 97607 is about 312.4211900624. The cubic root of 97607 is about 46.0426510531.

The spelling of 97607 in words is "ninety-seven thousand, six hundred seven".