3292961 has 8 divisors (see below), whose sum is σ = 3843840. Its totient is φ = 2762208.

The previous prime is 3292931. The next prime is 3292969. The reversal of 3292961 is 1692923.

3292961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3292961 - 2¹⁸ = 3030817 is a prime.

It is an alternating number because its digits alternate between odd and even.

3292961 is a modest number, since divided by 2961 gives 329 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3292969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4676 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 2^3292961 is an apocalyptic number.

It is an amenable number.

3292961 is a deficient number, since it is larger than the sum of its proper divisors (550879).

3292961 is a wasteful number, since it uses less digits than its factorization.

3292961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063.

The product of its digits is 5832, while the sum is 32.

The square root of 3292961 is about 1814.6517572251. The cubic root of 3292961 is about 148.7746243630.

It can be divided in two parts, 329 and 2961, that multiplied together give a square (974169 = 987²).

The spelling of 3292961 in words is "three million, two hundred ninety-two thousand, nine hundred sixty-one".