97761 has 4 divisors (see below), whose sum is σ = 130352. Its totient is φ = 65172.

The previous prime is 97729. The next prime is 97771. The reversal of 97761 is 16779.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 97761 - 2⁵ = 97729 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97711) 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 3 ways as a sum of consecutive naturals, for example, 16291 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (32588).

2⁹⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

97761 is a deficient number, since it is larger than the sum of its proper divisors (32591).

97761 is a wasteful number, since it uses less digits than its factorization.

97761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32590.

The product of its digits is 2646, while the sum is 30.

The square root of 97761 is about 312.6675550805. The cubic root of 97761 is about 46.0668530142.

It can be divided in two parts, 97 and 761, that added together give a palindrome (858).

The spelling of 97761 in words is "ninety-seven thousand, seven hundred sixty-one".