97968 has 40 divisors (see below), whose sum is σ = 274288. Its totient is φ = 29952.
The previous prime is 97967. The next prime is 97973. The reversal of 97968 is 86979.
It is a Cunningham number, because it is equal to 3132-1.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a plaindrome in base 5.
It is a zygodrome in base 5.
It is not an unprimeable number, because it can be changed into a prime (97961) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 702.
297968 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 97968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137144).
97968 is an abundant number, since it is smaller than the sum of its proper divisors (176320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97968 is a wasteful number, since it uses less digits than its factorization.
97968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 181 (or 175 counting only the distinct ones).
The product of its digits is 27216, while the sum is 39.
The square root of 97968 is about 312.9984025518. The cubic root of 97968 is about 46.0993442123.
The spelling of 97968 in words is "ninety-seven thousand, nine hundred sixty-eight".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •