97985511 has 32 divisors (see below), whose sum is σ = 157597440. Its totient is φ = 59810400.

The previous prime is 97985507. The next prime is 97985533. The reversal of 97985511 is 11558979.

97985511 is a `hidden beast` number, since 9 + 7 + 98 + 551 + 1 = 666.

It is not a de Polignac number, because 97985511 - 2² = 97985507 is a prime.

It is a super-2 number, since 2×97985511² = 19202320731862242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97985011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44916 + ... + 47046.

It is an arithmetic number, because the mean of its divisors is an integer number (4924920).

Almost surely, 2^97985511 is an apocalyptic number.

97985511 is a deficient number, since it is larger than the sum of its proper divisors (59611929).

97985511 is a wasteful number, since it uses less digits than its factorization.

97985511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2278 counting only the distinct ones).

The product of its digits is 113400, while the sum is 45.

The square root of 97985511 is about 9898.7631045500. The cubic root of 97985511 is about 461.0209067896.

The spelling of 97985511 in words is "ninety-seven million, nine hundred eighty-five thousand, five hundred eleven".