97644 has 24 divisors (see below), whose sum is σ = 232960. Its totient is φ = 31824.

The previous prime is 97613. The next prime is 97649. The reversal of 97644 is 44679.

Its product of digits (6048) is a multiple of the sum of its prime factors (189).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97644.

It is not an unprimeable number, because it can be changed into a prime (97649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 897 + ... + 999.

2⁹⁷⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

97644 is an abundant number, since it is smaller than the sum of its proper divisors (135316).

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 (116480).

97644 is a wasteful number, since it uses less digits than its factorization.

97644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 97644 is about 312.4803993853. The cubic root of 97644 is about 46.0484681320.

It can be divided in two parts, 97 and 644, that added together give a triangular number (741 = T₃₈).

The spelling of 97644 in words is "ninety-seven thousand, six hundred forty-four".