97640 has 16 divisors (see below), whose sum is σ = 219780. Its totient is φ = 39040.

The previous prime is 97613. The next prime is 97649. The reversal of 97640 is 4679.

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 8836 = 298^2 + 94^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (97649) 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, 1181 + ... + 1260.

2⁹⁷⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

97640 is an abundant number, since it is smaller than the sum of its proper divisors (122140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109890).

97640 is a wasteful number, since it uses less digits than its factorization.

97640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 97640 is about 312.4739989183. The cubic root of 97640 is about 46.0478393295.

It can be divided in two parts, 97 and 640, that added together give a palindrome (737).

The spelling of 97640 in words is "ninety-seven thousand, six hundred forty".