97084416 has 264 divisors, whose sum is σ = 323655264. Its totient is φ = 25559040.

The previous prime is 97084397. The next prime is 97084423. The reversal of 97084416 is 61448079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×97084416² = 18850767660122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710840 + ... + 5710856.

Almost surely, 2^97084416 is an apocalyptic number.

97084416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161827632).

97084416 is an abundant number, since it is smaller than the sum of its proper divisors (226570848).

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

97084416 is a wasteful number, since it uses less digits than its factorization.

97084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 97084416 is about 9853.1424428961. The cubic root of 97084416 is about 459.6033379523.

The spelling of 97084416 in words is "ninety-seven million, eighty-four thousand, four hundred sixteen".