3201975 has 72 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 1373760.

The previous prime is 3201973. The next prime is 3201983. The reversal of 3201975 is 5791023.

It is not a de Polignac number, because 3201975 - 2¹ = 3201973 is a prime.

3201975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29872 + ... + 29978.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^3201975 is an apocalyptic number.

3201975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3201975 is an abundant number, since it is smaller than the sum of its proper divisors (3761865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3201975 is a wasteful number, since it uses less digits than its factorization.

3201975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3201975 is about 1789.4063261317. The cubic root of 3201975 is about 147.3915702200.

Adding to 3201975 its reverse (5791023), we get a palindrome (8992998).

The spelling of 3201975 in words is "three million, two hundred one thousand, nine hundred seventy-five".