32769 has 12 divisors (see below), whose sum is σ = 51792. Its totient is φ = 19800.

The previous prime is 32749. The next prime is 32771. The reversal of 32769 is 96723.

32769 is nontrivially palindromic in base 2 and base 8.

It is a Cunningham number, because it is equal to 2¹⁵+1.

It is not a de Polignac number, because 32769 - 2⁹ = 32257 is a prime.

It is a super-2 number, since 2×32769² = 2147614722, which contains 22 as substring.

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

It is a Curzon number.

32769 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (32719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (4316).

It is a Proth number, since it is equal to 1 ⋅ 2¹⁵ + 1 and 1 < 2¹⁵.

2³²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

32769 is a deficient number, since it is larger than the sum of its proper divisors (19023).

32769 is a wasteful number, since it uses less digits than its factorization.

32769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 32769 is about 181.0220980985. The cubic root of 32769 is about 32.0003255175. Note that the first 3 decimals are identical.

It can be divided in two parts, 3 and 2769, that added together give a palindrome (2772).

The spelling of 32769 in words is "thirty-two thousand, seven hundred sixty-nine".