32775 has 24 divisors (see below), whose sum is σ = 59520. Its totient is φ = 15840.

The previous prime is 32771. The next prime is 32779. The reversal of 32775 is 57723.

It is an interprime number because it is at equal distance from previous prime (32771) and next prime (32779).

It is not a de Polignac number, because 32775 - 2² = 32771 is a prime.

32775 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32775.

It is not an unprimeable number, because it can be changed into a prime (32771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (2480).

32775 is a Friedman number, since it can be written as 7+2^(7+5+3), using all its digits and the basic arithmetic operations.

2³²⁷⁷⁵ is an apocalyptic number.

32775 is a deficient number, since it is larger than the sum of its proper divisors (26745).

32775 is a wasteful number, since it uses less digits than its factorization.

32775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 50 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 32775 is about 181.0386699023. The cubic root of 32775 is about 32.0022784836.

The spelling of 32775 in words is "thirty-two thousand, seven hundred seventy-five".