32770 has 16 divisors (see below), whose sum is σ = 61560. Its totient is φ = 12544.

The previous prime is 32749. The next prime is 32771. The reversal of 32770 is 7723.

32770 = T₁₂₆ + T₁₂₇ + ... + T₁₂₉.

32770 is nontrivially palindromic in base 4.

32770 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 16129 = 129^2 + 127^2 .

32770 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32771) 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 7 ways as a sum of consecutive naturals, for example, 234 + ... + 346.

2³²⁷⁷⁰ is an apocalyptic number.

32770 is a deficient number, since it is larger than the sum of its proper divisors (28790).

32770 is a wasteful number, since it uses less digits than its factorization.

32770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 32770 is about 181.0248601712. The cubic root of 32770 is about 32.0006510284. Note that the first 3 decimals are identical.

The spelling of 32770 in words is "thirty-two thousand, seven hundred seventy".