97505967 has 32 divisors (see below), whose sum is σ = 148395520. Its totient is φ = 56453760.

The previous prime is 97505953. The next prime is 97505981. The reversal of 97505967 is 76950579.

It is an interprime number because it is at equal distance from previous prime (97505953) and next prime (97505981).

It is not a de Polignac number, because 97505967 - 2⁴ = 97505951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97505927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133758 + ... + 134484.

It is an arithmetic number, because the mean of its divisors is an integer number (4637360).

Almost surely, 2^97505967 is an apocalyptic number.

97505967 is a deficient number, since it is larger than the sum of its proper divisors (50889553).

97505967 is a wasteful number, since it uses less digits than its factorization.

97505967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 97505967 is about 9874.5109752332. The cubic root of 97505967 is about 460.2675932016.

The spelling of 97505967 in words is "ninety-seven million, five hundred five thousand, nine hundred sixty-seven".