97713 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 49680.

The previous prime is 97711. The next prime is 97729. The reversal of 97713 is 31779.

It is not a de Polignac number, because 97713 - 2¹ = 97711 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 2056 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁹⁷⁷¹³ is an apocalyptic number.

97713 is the 198-th heptagonal number.

It is an amenable number.

97713 is a deficient number, since it is larger than the sum of its proper divisors (86607).

97713 is a wasteful number, since it uses less digits than its factorization.

97713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 97713 is about 312.5907868124. The cubic root of 97713 is about 46.0593122739.

It can be divided in two parts, 977 and 13, that added together give a triangular number (990 = T₄₄).

The spelling of 97713 in words is "ninety-seven thousand, seven hundred thirteen".