97652736 has 104 divisors (see below), whose sum is σ = 289633760. Its totient is φ = 32514048.

The previous prime is 97652717. The next prime is 97652741. The reversal of 97652736 is 63725679.

97652736 is a `hidden beast` number, since 97 + 6 + 527 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97652691 and 97652700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110151 + ... + 111033.

It is an arithmetic number, because the mean of its divisors is an integer number (2784940).

Almost surely, 2^97652736 is an apocalyptic number.

97652736 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 97652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144816880).

97652736 is an abundant number, since it is smaller than the sum of its proper divisors (191981024).

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

97652736 is an equidigital number, since it uses as much as digits as its factorization.

97652736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 888 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 97652736 is about 9881.9398905276. The cubic root of 97652736 is about 460.4984137708.

The spelling of 97652736 in words is "ninety-seven million, six hundred fifty-two thousand, seven hundred thirty-six".