97689312 has 144 divisors (see below), whose sum is σ = 324559872. Its totient is φ = 27290880.

The previous prime is 97689311. The next prime is 97689331. The reversal of 97689312 is 21398679.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97689311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94237 + ... + 95267.

It is an arithmetic number, because the mean of its divisors is an integer number (2253888).

Almost surely, 2^97689312 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 97689312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162279936).

97689312 is an abundant number, since it is smaller than the sum of its proper divisors (226870560).

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

97689312 is a wasteful number, since it uses less digits than its factorization.

97689312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 97689312 is about 9883.7903660488. The cubic root of 97689312 is about 460.5559000848. Note that the first 3 decimals are identical.

The spelling of 97689312 in words is "ninety-seven million, six hundred eighty-nine thousand, three hundred twelve".