3957705 has 24 divisors (see below), whose sum is σ = 7048392. Its totient is φ = 2052864.

The previous prime is 3957703. The next prime is 3957713. The reversal of 3957705 is 5077593.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 3059001 = 948^2 + 1749^2 .

It is not a de Polignac number, because 3957705 - 2¹ = 3957703 is a prime.

3957705 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3957705.

It is not an unprimeable number, because it can be changed into a prime (3957703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (293683).

Almost surely, 2^3957705 is an apocalyptic number.

It is an amenable number.

3957705 is a deficient number, since it is larger than the sum of its proper divisors (3090687).

3957705 is a wasteful number, since it uses less digits than its factorization.

3957705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 3957705 is about 1989.3981501952. The cubic root of 3957705 is about 158.1786288227.

It can be divided in two parts, 395 and 7705, that added together give a square (8100 = 90²).

The spelling of 3957705 in words is "three million, nine hundred fifty-seven thousand, seven hundred five".