97838016 has 28 divisors (see below), whose sum is σ = 258863592. Its totient is φ = 32612608.

The previous prime is 97838003. The next prime is 97838051. The reversal of 97838016 is 61083879.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254595 + ... + 254978.

Almost surely, 2^97838016 is an apocalyptic number.

97838016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97838016 is an abundant number, since it is smaller than the sum of its proper divisors (161025576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97838016 is a wasteful number, since it uses less digits than its factorization.

97838016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509588 (or 509578 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 97838016 is about 9891.3101255597. The cubic root of 97838016 is about 460.7894697632.

The spelling of 97838016 in words is "ninety-seven million, eight hundred thirty-eight thousand, sixteen".