97633368 has 96 divisors (see below), whose sum is σ = 303663360. Its totient is φ = 27760320.

The previous prime is 97633357. The next prime is 97633373. The reversal of 97633368 is 86333679.

It is a happy number.

97633368 is a `hidden beast` number, since 9 + 7 + 633 + 3 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154413 + ... + 155043.

It is an arithmetic number, because the mean of its divisors is an integer number (3163160).

Almost surely, 2^97633368 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 97633368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151831680).

97633368 is an abundant number, since it is smaller than the sum of its proper divisors (206029992).

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

97633368 is a wasteful number, since it uses less digits than its factorization.

97633368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 97633368 is about 9880.9598724011. The cubic root of 97633368 is about 460.4679673701.

It can be divided in two parts, 9763 and 3368, that added together give a palindrome (13131).

The spelling of 97633368 in words is "ninety-seven million, six hundred thirty-three thousand, three hundred sixty-eight".