32961601 has 8 divisors (see below), whose sum is σ = 33673320. Its totient is φ = 32253312.

The previous prime is 32961583. The next prime is 32961613. The reversal of 32961601 is 10616923.

It can be written as a sum of positive squares in 4 ways, for example, as 12250000 + 20711601 = 3500^2 + 4551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32961601 - 2⁵ = 32961569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32961601.

It is not an unprimeable number, because it can be changed into a prime (32961641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29611 + ... + 30703.

It is an arithmetic number, because the mean of its divisors is an integer number (4209165).

Almost surely, 2^32961601 is an apocalyptic number.

It is an amenable number.

32961601 is a deficient number, since it is larger than the sum of its proper divisors (711719).

32961601 is a wasteful number, since it uses less digits than its factorization.

32961601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 32961601 is about 5741.2194697642. The cubic root of 32961601 is about 320.6289745007.

The spelling of 32961601 in words is "thirty-two million, nine hundred sixty-one thousand, six hundred one".