3965637 has 16 divisors (see below), whose sum is σ = 5943168. Its totient is φ = 2333760.

The previous prime is 3965629. The next prime is 3965639. The reversal of 3965637 is 7365693.

It is not a de Polignac number, because 3965637 - 2³ = 3965629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3965595 and 3965604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (371448).

Almost surely, 2^3965637 is an apocalyptic number.

It is an amenable number.

3965637 is a deficient number, since it is larger than the sum of its proper divisors (1977531).

3965637 is a wasteful number, since it uses less digits than its factorization.

3965637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460.

The product of its digits is 102060, while the sum is 39.

The square root of 3965637 is about 1991.3907200748. The cubic root of 3965637 is about 158.2842317427.

It can be divided in two parts, 39656 and 37, that added together give a palindrome (39693).

The spelling of 3965637 in words is "three million, nine hundred sixty-five thousand, six hundred thirty-seven".