32749 has 2 divisors, whose sum is σ = 32750. Its totient is φ = 32748.

The previous prime is 32719. The next prime is 32771. The reversal of 32749 is 94723.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 8100 = 157^2 + 90^2 .

It is an emirp because it is prime and its reverse (94723) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32749 - 2⁵ = 32717 is a prime.

It is a d-powerful number, because it can be written as 3⁹ + 2¹³ + 7² + 4⁶ + 9³ .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32719) 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 as a sum of consecutive naturals, namely, 16374 + 16375.

It is an arithmetic number, because the mean of its divisors is an integer number (16375).

2³²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

32749 is a deficient number, since it is larger than the sum of its proper divisors (1).

32749 is an equidigital number, since it uses as much as digits as its factorization.

32749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 32749 is about 180.9668477926. The cubic root of 32749 is about 31.9938139084.

The spelling of 32749 in words is "thirty-two thousand, seven hundred forty-nine".