97712000 has 128 divisors (see below), whose sum is σ = 252046080. Its totient is φ = 37632000.

The previous prime is 97711967. The next prime is 97712009. The reversal of 97712000 is 21779.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97712009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495902 + ... + 496098.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^97712000 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 97712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023040).

97712000 is an abundant number, since it is smaller than the sum of its proper divisors (154334080).

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

97712000 is a wasteful number, since it uses less digits than its factorization.

97712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

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

The square root of 97712000 is about 9884.9380372362. The cubic root of 97712000 is about 460.5915514890.

Adding to 97712000 its reverse (21779), we get a palindrome (97733779).

The spelling of 97712000 in words is "ninety-seven million, seven hundred twelve thousand".