4013982 has 96 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 1088640.

The previous prime is 4013981. The next prime is 4013987. The reversal of 4013982 is 2893104.

It is a super-2 number, since 2×4013982² = 32224102992648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97882 + ... + 97922.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

Almost surely, 2^4013982 is an apocalyptic number.

4013982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

4013982 is an abundant number, since it is smaller than the sum of its proper divisors (6902658).

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

4013982 is a wasteful number, since it uses less digits than its factorization.

4013982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4013982 is about 2003.4924506970. The cubic root of 4013982 is about 158.9248487859.

The spelling of 4013982 in words is "four million, thirteen thousand, nine hundred eighty-two".