97820416 has 36 divisors (see below), whose sum is σ = 196735000. Its totient is φ = 48540672.

The previous prime is 97820413. The next prime is 97820423. The reversal of 97820416 is 61402879.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97820413) 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, 34210 + ... + 36958.

Almost surely, 2^97820416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98367500).

97820416 is an abundant number, since it is smaller than the sum of its proper divisors (98914584).

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

97820416 is a wasteful number, since it uses less digits than its factorization.

97820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 97820416 is about 9890.4204157356. The cubic root of 97820416 is about 460.7618377604.

The spelling of 97820416 in words is "ninety-seven million, eight hundred twenty thousand, four hundred sixteen".