3633993 has 36 divisors (see below), whose sum is σ = 5975424. Its totient is φ = 2125200.

The previous prime is 3633991. The next prime is 3634009. The reversal of 3633993 is 3993363.

It is not a de Polignac number, because 3633993 - 2¹ = 3633991 is a prime.

3633993 is a modest number, since divided by 3993 gives 363 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3633991) 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 35 ways as a sum of consecutive naturals, for example, 51148 + ... + 51218.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 2^3633993 is an apocalyptic number.

3633993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3633993 is a deficient number, since it is larger than the sum of its proper divisors (2341431).

3633993 is a wasteful number, since it uses less digits than its factorization.

3633993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 3633993 is about 1906.3034910528. The cubic root of 3633993 is about 153.7427678534.

It can be divided in two parts, 363 and 3993, that added together give a square (4356 = 66²).

The spelling of 3633993 in words is "three million, six hundred thirty-three thousand, nine hundred ninety-three".