32820641 has 16 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 27828864.

The previous prime is 32820631. The next prime is 32820703. The reversal of 32820641 is 14602823.

It is not a de Polignac number, because 32820641 - 2⁶ = 32820577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32820641.

It is not an unprimeable number, because it can be changed into a prime (32820631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34865 + ... + 35793.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^32820641 is an apocalyptic number.

It is an amenable number.

32820641 is a deficient number, since it is larger than the sum of its proper divisors (5867359).

32820641 is an equidigital number, since it uses as much as digits as its factorization.

32820641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 32820641 is about 5728.9301793616. The cubic root of 32820641 is about 320.1712657432.

The spelling of 32820641 in words is "thirty-two million, eight hundred twenty thousand, six hundred forty-one".