3985267 has 24 divisors (see below), whose sum is σ = 5004720. Its totient is φ = 3124800.

The previous prime is 3985249. The next prime is 3985277. The reversal of 3985267 is 7625893.

It is a de Polignac number, because none of the positive numbers 2^k-3985267 is a prime.

It is a super-2 number, since 2×3985267² = 31764706122578, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (90720) is a multiple of the sum of its prime divisors (84).

3985267 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3985207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128542 + ... + 128572.

It is an arithmetic number, because the mean of its divisors is an integer number (208530).

Almost surely, 2^3985267 is an apocalyptic number.

3985267 is a deficient number, since it is larger than the sum of its proper divisors (1019453).

3985267 is a wasteful number, since it uses less digits than its factorization.

3985267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 3985267 is about 1996.3133521569. The cubic root of 3985267 is about 158.5449722617.

It can be divided in two parts, 398 and 5267, that added together give a palindrome (5665).

The spelling of 3985267 in words is "three million, nine hundred eighty-five thousand, two hundred sixty-seven".