32766561 has 24 divisors (see below), whose sum is σ = 48935016. Its totient is φ = 21116160.

The previous prime is 32766553. The next prime is 32766581. The reversal of 32766561 is 16566723.

32766561 is a `hidden beast` number, since 32 + 7 + 66 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10497600 + 22268961 = 3240^2 + 4719^2 .

It is not a de Polignac number, because 32766561 - 2³ = 32766553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32766581) 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, 34351 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (2038959).

Almost surely, 2^32766561 is an apocalyptic number.

It is an amenable number.

32766561 is a deficient number, since it is larger than the sum of its proper divisors (16168455).

32766561 is a wasteful number, since it uses less digits than its factorization.

32766561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1070 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 32766561 is about 5724.2083295422. The cubic root of 32766561 is about 319.9953156866.

The spelling of 32766561 in words is "thirty-two million, seven hundred sixty-six thousand, five hundred sixty-one".