3971205 has 36 divisors (see below), whose sum is σ = 8011692. Its totient is φ = 1814400.

The previous prime is 3971167. The next prime is 3971207. The reversal of 3971205 is 5021793.

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 3038049 = 966^2 + 1743^2 .

It is not a de Polignac number, because 3971205 - 2⁶ = 3971141 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1305 + ... + 3105.

It is an arithmetic number, because the mean of its divisors is an integer number (222547).

Almost surely, 2^3971205 is an apocalyptic number.

3971205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3971205 is an abundant number, since it is smaller than the sum of its proper divisors (4040487).

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

3971205 is a wasteful number, since it uses less digits than its factorization.

3971205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1816 counting only the distinct ones).

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

The square root of 3971205 is about 1992.7882476570. The cubic root of 3971205 is about 158.3582773874.

Adding to 3971205 its reverse (5021793), we get a palindrome (8992998).

The spelling of 3971205 in words is "three million, nine hundred seventy-one thousand, two hundred five".