88713 has 6 divisors (see below), whose sum is σ = 128154. Its totient is φ = 59136.

The previous prime is 88681. The next prime is 88721. The reversal of 88713 is 31788.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 17424 = 267^2 + 132^2 .

It is not a de Polignac number, because 88713 - 2⁵ = 88681 is a prime.

It is a Curzon number.

88713 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (88793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4920 + ... + 4937.

It is an arithmetic number, because the mean of its divisors is an integer number (21359).

2⁸⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

88713 is a deficient number, since it is larger than the sum of its proper divisors (39441).

88713 is a wasteful number, since it uses less digits than its factorization.

88713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9860 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 88713 is about 297.8472763011. The cubic root of 88713 is about 44.5994074472.

It can be divided in two parts, 887 and 13, that added together give a square (900 = 30²).

The spelling of 88713 in words is "eighty-eight thousand, seven hundred thirteen".