3957953 has 2 divisors, whose sum is σ = 3957954. Its totient is φ = 3957952.

The previous prime is 3957937. The next prime is 3957959. The reversal of 3957953 is 3597593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3888784 + 69169 = 1972^2 + 263^2 .

It is a cyclic number.

It is not a de Polignac number, because 3957953 - 2⁴ = 3957937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3957953.

It is not a weakly prime, because it can be changed into another prime (3957959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1978976 + 1978977.

It is an arithmetic number, because the mean of its divisors is an integer number (1978977).

Almost surely, 2^3957953 is an apocalyptic number.

It is an amenable number.

3957953 is a deficient number, since it is larger than the sum of its proper divisors (1).

3957953 is an equidigital number, since it uses as much as digits as its factorization.

3957953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 127575, while the sum is 41.

The square root of 3957953 is about 1989.4604796276. The cubic root of 3957953 is about 158.1819327139.

The spelling of 3957953 in words is "three million, nine hundred fifty-seven thousand, nine hundred fifty-three".