3963953 has 6 divisors (see below), whose sum is σ = 4611186. Its totient is φ = 3397632.

The previous prime is 3963931. The next prime is 3963959. The reversal of 3963953 is 3593693.

It can be written as a sum of positive squares in only one way, i.e., 3869089 + 94864 = 1967^2 + 308^2 .

It is not a de Polignac number, because 3963953 - 2¹⁴ = 3947569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3963959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40400 + ... + 40497.

It is an arithmetic number, because the mean of its divisors is an integer number (768531).

Almost surely, 2^3963953 is an apocalyptic number.

It is an amenable number.

3963953 is a deficient number, since it is larger than the sum of its proper divisors (647233).

3963953 is an equidigital number, since it uses as much as digits as its factorization.

3963953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80911 (or 80904 counting only the distinct ones).

The product of its digits is 65610, while the sum is 38.

The square root of 3963953 is about 1990.9678550896. The cubic root of 3963953 is about 158.2618235407.

The spelling of 3963953 in words is "three million, nine hundred sixty-three thousand, nine hundred fifty-three".