97783120 has 80 divisors (see below), whose sum is σ = 249805440. Its totient is φ = 35430912.

The previous prime is 97783111. The next prime is 97783123. The reversal of 97783120 is 2138779.

97783120 is a nontrivial binomial coefficient, being equal to C(13985, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 97783120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97783123) 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 15 ways as a sum of consecutive naturals, for example, 33562 + ... + 36358.

It is an arithmetic number, because the mean of its divisors is an integer number (3122568).

Almost surely, 2^97783120 is an apocalyptic number.

97783120 is the 13984-th triangular number.

97783120 is the 4662-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97783120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124902720).

97783120 is an abundant number, since it is smaller than the sum of its proper divisors (152022320).

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

97783120 is a wasteful number, since it uses less digits than its factorization.

97783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 97783120 is about 9888.5347751828. The cubic root of 97783120 is about 460.7032720790.

It can be divided in two parts, 97783 and 120, that added together give a triangular number (97903 = T₄₄₂).

The spelling of 97783120 in words is "ninety-seven million, seven hundred eighty-three thousand, one hundred twenty".