97782048 has 324 divisors, whose sum is σ = 358805538. Its totient is φ = 25159680.

The previous prime is 97782031. The next prime is 97782049. The reversal of 97782048 is 84028779.

It can be written as a sum of positive squares in 3 ways, for example, as 22924944 + 74857104 = 4788^2 + 8652^2 .

It is a super-2 number, since 2×97782048² = 19122657822148608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97781994 and 97782012.

It is not an unprimeable number, because it can be changed into a prime (97782049) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384908 + ... + 2384948.

Almost surely, 2^97782048 is an apocalyptic number.

97782048 is a gapful number since it is divisible by the number (98) 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 97782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179402769).

97782048 is an abundant number, since it is smaller than the sum of its proper divisors (261023490).

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

97782048 is a wasteful number, since it uses less digits than its factorization.

97782048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 97782048 is about 9888.4805708461. The cubic root of 97782048 is about 460.7015885038.

The spelling of 97782048 in words is "ninety-seven million, seven hundred eighty-two thousand, forty-eight".