97767 has 20 divisors (see below), whose sum is σ = 156816. Its totient is φ = 60480.

The previous prime is 97729. The next prime is 97771. The reversal of 97767 is 76779.

It is not a de Polignac number, because 97767 - 2⁸ = 97511 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97767.

It is not an unprimeable number, because it can be changed into a prime (97777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1342 + ... + 1412.

2⁹⁷⁷⁶⁷ is an apocalyptic number.

97767 is a deficient number, since it is larger than the sum of its proper divisors (59049).

97767 is a wasteful number, since it uses less digits than its factorization.

97767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 97767 is about 312.6771497887. The cubic root of 97767 is about 46.0677954332.

It can be divided in two parts, 9 and 7767, that added together give a 5-th power (7776 = 6⁵).

The spelling of 97767 in words is "ninety-seven thousand, seven hundred sixty-seven".