97967105632 has 48 divisors (see below), whose sum is σ = 210585677904. Its totient is φ = 44492608000.

The previous prime is 97967105627. The next prime is 97967105651. The reversal of 97967105632 is 23650176979.

It is a super-2 number, since 2×97967105632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297882 + ... + 533542.

It is an arithmetic number, because the mean of its divisors is an integer number (4387201623).

Almost surely, 2^97967105632 is an apocalyptic number.

It is an amenable number.

97967105632 is an abundant number, since it is smaller than the sum of its proper divisors (112618572272).

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

97967105632 is a wasteful number, since it uses less digits than its factorization.

97967105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236863 (or 236855 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 55.

The spelling of 97967105632 in words is "ninety-seven billion, nine hundred sixty-seven million, one hundred five thousand, six hundred thirty-two".