97002144 has 144 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 30533760.

The previous prime is 97002133. The next prime is 97002149. The reversal of 97002144 is 44120079.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (97002149) 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, 311749 + ... + 312059.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^97002144 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 97002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

97002144 is an abundant number, since it is smaller than the sum of its proper divisors (202555296).

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

97002144 is a wasteful number, since it uses less digits than its factorization.

97002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 97002144 is about 9848.9666463036. The cubic root of 97002144 is about 459.4734744324.

The spelling of 97002144 in words is "ninety-seven million, two thousand, one hundred forty-four".