97837632 has 126 divisors (see below), whose sum is σ = 292454838. Its totient is φ = 32472576.

The previous prime is 97837627. The next prime is 97837633. The reversal of 97837632 is 23673879.

It is a happy number.

97837632 is a `hidden beast` number, since 9 + 7 + 8 + 3 + 7 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 26873856 = 8424^2 + 5184^2 .

It is not an unprimeable number, because it can be changed into a prime (97837633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419788 + ... + 420020.

Almost surely, 2^97837632 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 97837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146227419).

97837632 is an abundant number, since it is smaller than the sum of its proper divisors (194617206).

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

97837632 is an frugal number, since it uses more digits than its factorization.

97837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 97837632 is about 9891.2907145630. The cubic root of 97837632 is about 460.7888669185.

The spelling of 97837632 in words is "ninety-seven million, eight hundred thirty-seven thousand, six hundred thirty-two".