97782916 has 48 divisors (see below), whose sum is σ = 216316800. Its totient is φ = 37566720.

The previous prime is 97782907. The next prime is 97782931. The reversal of 97782916 is 61928779.

It is a happy number.

It is a super-2 number, since 2×97782916² = 19122997322926112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97782916.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20310 + ... + 24658.

It is an arithmetic number, because the mean of its divisors is an integer number (4506600).

Almost surely, 2^97782916 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 97782916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108158400).

97782916 is an abundant number, since it is smaller than the sum of its proper divisors (118533884).

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

97782916 is a wasteful number, since it uses less digits than its factorization.

97782916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4442 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 97782916 is about 9888.5244602013. The cubic root of 97782916 is about 460.7029516981.

The spelling of 97782916 in words is "ninety-seven million, seven hundred eighty-two thousand, nine hundred sixteen".