97967007 has 12 divisors (see below), whose sum is σ = 143501904. Its totient is φ = 64391040.

The previous prime is 97967003. The next prime is 97967011. The reversal of 97967007 is 70076979.

It is an interprime number because it is at equal distance from previous prime (97967003) and next prime (97967011).

It is not a de Polignac number, because 97967007 - 2² = 97967003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97967003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76018 + ... + 77295.

It is an arithmetic number, because the mean of its divisors is an integer number (11958492).

Almost surely, 2^97967007 is an apocalyptic number.

97967007 is a deficient number, since it is larger than the sum of its proper divisors (45534897).

97967007 is a wasteful number, since it uses less digits than its factorization.

97967007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153390 (or 153387 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 97967007 is about 9897.8283981892. The cubic root of 97967007 is about 460.9918845807.

The spelling of 97967007 in words is "ninety-seven million, nine hundred sixty-seven thousand, seven".