3882567 has 16 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 2365440.

The previous prime is 3882563. The next prime is 3882569. The reversal of 3882567 is 7652883.

It is not a de Polignac number, because 3882567 - 2² = 3882563 is a prime.

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

It is a d-powerful number, because it can be written as 3⁴ + 8³ + 8³ + 2¹⁷ + 5⁹ + 6⁸ + 7⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882563) 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, 3967 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 2^3882567 is an apocalyptic number.

3882567 is a deficient number, since it is larger than the sum of its proper divisors (1748121).

3882567 is a wasteful number, since it uses less digits than its factorization.

3882567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010.

The product of its digits is 80640, while the sum is 39.

The square root of 3882567 is about 1970.4230510223. The cubic root of 3882567 is about 157.1712062589.

The spelling of 3882567 in words is "three million, eight hundred eighty-two thousand, five hundred sixty-seven".