3958605 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 1753920.

The previous prime is 3958601. The next prime is 3958621. The reversal of 3958605 is 5068593.

It is not a de Polignac number, because 3958605 - 2² = 3958601 is a prime.

It is a Curzon number.

3958605 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3958605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958601) 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 63 ways as a sum of consecutive naturals, for example, 55720 + ... + 55790.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 2^3958605 is an apocalyptic number.

3958605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3958605 is an abundant number, since it is smaller than the sum of its proper divisors (4335795).

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

3958605 is a wasteful number, since it uses less digits than its factorization.

3958605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3958605 is about 1989.6243364012. The cubic root of 3958605 is about 158.1906180922.

The spelling of 3958605 in words is "three million, nine hundred fifty-eight thousand, six hundred five".