3987165 has 64 divisors (see below), whose sum is σ = 8257536. Its totient is φ = 1596672.

The previous prime is 3987149. The next prime is 3987167. The reversal of 3987165 is 5617893.

It is not a de Polignac number, because 3987165 - 2⁴ = 3987149 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31332 + ... + 31458.

It is an arithmetic number, because the mean of its divisors is an integer number (129024).

Almost surely, 2^3987165 is an apocalyptic number.

3987165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3987165 is an abundant number, since it is smaller than the sum of its proper divisors (4270371).

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

3987165 is a wasteful number, since it uses less digits than its factorization.

3987165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its digits is 45360, while the sum is 39.

The square root of 3987165 is about 1996.7886718429. The cubic root of 3987165 is about 158.5701375015.

The spelling of 3987165 in words is "three million, nine hundred eighty-seven thousand, one hundred sixty-five".