97764 has 12 divisors (see below), whose sum is σ = 228144. Its totient is φ = 32584.

The previous prime is 97729. The next prime is 97771. The reversal of 97764 is 46779.

It is a tau number, because it is divible by the number of its divisors (12).

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 97764.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4062 + ... + 4085.

It is an arithmetic number, because the mean of its divisors is an integer number (19012).

2⁹⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

97764 is an abundant number, since it is smaller than the sum of its proper divisors (130380).

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 (114072).

97764 is a wasteful number, since it uses less digits than its factorization.

97764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8152 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 97764 is about 312.6723524714. The cubic root of 97764 is about 46.0673242285.

It can be divided in two parts, 97 and 764, that added together give a triangular number (861 = T₄₁).

The spelling of 97764 in words is "ninety-seven thousand, seven hundred sixty-four".