97826976 has 288 divisors, whose sum is σ = 334348560. Its totient is φ = 26836992.

The previous prime is 97826969. The next prime is 97826983. The reversal of 97826976 is 67962879.

It is an interprime number because it is at equal distance from previous prime (97826969) and next prime (97826983).

It can be written as a sum of positive squares in 8 ways, for example, as 56610576 + 41216400 = 7524^2 + 6420^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845766 + ... + 1845818.

Almost surely, 2^97826976 is an apocalyptic number.

97826976 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 97826976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174280).

97826976 is an abundant number, since it is smaller than the sum of its proper divisors (236521584).

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

97826976 is a wasteful number, since it uses less digits than its factorization.

97826976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 97826976 is about 9890.7520442078. The cubic root of 97826976 is about 460.7721373489.

The spelling of 97826976 in words is "ninety-seven million, eight hundred twenty-six thousand, nine hundred seventy-six".