32718 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 8640.

The previous prime is 32717. The next prime is 32719. The reversal of 32718 is 81723.

It is an interprime number because it is at equal distance from previous prime (32717) and next prime (32719).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32694 and 32703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³²⁷¹⁸ is an apocalyptic number.

32718 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

32718 is an abundant number, since it is smaller than the sum of its proper divisors (47922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32718 is a wasteful number, since it uses less digits than its factorization.

32718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its digits is 336, while the sum is 21.

The square root of 32718 is about 180.8811764668. The cubic root of 32718 is about 31.9837156729.

It can be divided in two parts, 327 and 18, that multiplied together give a triangular number (5886 = T₁₀₈).

The spelling of 32718 in words is "thirty-two thousand, seven hundred eighteen".