3956121 has 45 divisors (see below), whose sum is σ = 6797901. Its totient is φ = 2291328.

The previous prime is 3956119. The next prime is 3956143. The reversal of 3956121 is 1216593.

The square root of 3956121 is 1989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 3920400 = 189^2 + 1980^2 .

It is not a de Polignac number, because 3956121 - 2¹ = 3956119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3956101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 232705 + ... + 232721.

Almost surely, 2^3956121 is an apocalyptic number.

3956121 is the 1989-th square number.

3956121 is the 995-th centered octagonal number.

It is an amenable number.

3956121 is a deficient number, since it is larger than the sum of its proper divisors (2841780).

3956121 is a wasteful number, since it uses less digits than its factorization.

3956121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The cubic root of 3956121 is about 158.1575232929.

The spelling of 3956121 in words is "three million, nine hundred fifty-six thousand, one hundred twenty-one".