97712 has 20 divisors (see below), whose sum is σ = 196416. Its totient is φ = 47040.

The previous prime is 97711. The next prime is 97729. The reversal of 97712 is 21779.

97712 is an admirable number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (97711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 594.

2⁹⁷⁷¹² 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 97712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

97712 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

97712 is a wasteful number, since it uses less digits than its factorization.

97712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 882, while the sum is 26.

The square root of 97712 is about 312.5891872730. The cubic root of 97712 is about 46.0591551489.

It can be divided in two parts, 977 and 12, that added together give a palindrome (989).

The spelling of 97712 in words is "ninety-seven thousand, seven hundred twelve".