97852967 has 4 divisors (see below), whose sum is σ = 99457176. Its totient is φ = 96248760.

The previous prime is 97852961. The next prime is 97852973. The reversal of 97852967 is 76925879.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76925879 = 1669 ⋅46091.

It is an interprime number because it is at equal distance from previous prime (97852961) and next prime (97852973).

It is a cyclic number.

It is not a de Polignac number, because 97852967 - 2²⁴ = 81075751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97852961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 802013 + ... + 802134.

It is an arithmetic number, because the mean of its divisors is an integer number (24864294).

Almost surely, 2^97852967 is an apocalyptic number.

97852967 is a deficient number, since it is larger than the sum of its proper divisors (1604209).

97852967 is a wasteful number, since it uses less digits than its factorization.

97852967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604208.

The product of its digits is 1905120, while the sum is 53.

The square root of 97852967 is about 9892.0658610828. The cubic root of 97852967 is about 460.8129402326.

The spelling of 97852967 in words is "ninety-seven million, eight hundred fifty-two thousand, nine hundred sixty-seven".