3993605 has 48 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 2323200.

The previous prime is 3993601. The next prime is 3993617. The reversal of 3993605 is 5063993.

3993605 = 44³ + 45³ + ... + 66³.

It is not a de Polignac number, because 3993605 - 2² = 3993601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a d-powerful number, because it can be written as 3¹¹ + 9 + 9⁴ + 3¹¹ + 6⁸ + 0 + 5⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97385 + ... + 97425.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 2^3993605 is an apocalyptic number.

3993605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3993605 is a deficient number, since it is larger than the sum of its proper divisors (2441467).

3993605 is a wasteful number, since it uses less digits than its factorization.

3993605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 3993605 is about 1998.4006104883. The cubic root of 3993605 is about 158.6554648268.

It can be divided in two parts, 399 and 3605, that added together give a palindrome (4004).

The spelling of 3993605 in words is "three million, nine hundred ninety-three thousand, six hundred five".