4001382 has 48 divisors (see below), whose sum is σ = 10812672. Its totient is φ = 1038960.

The previous prime is 4001369. The next prime is 4001383. The reversal of 4001382 is 2831004.

It is a happy number.

It is a super-2 number, since 2×4001382² = 32022115819848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001383) 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, 58 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (225264).

Almost surely, 2^4001382 is an apocalyptic number.

4001382 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 4001382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406336).

4001382 is an abundant number, since it is smaller than the sum of its proper divisors (6811290).

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

4001382 is a wasteful number, since it uses less digits than its factorization.

4001382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4001382 is about 2000.3454701626. The cubic root of 4001382 is about 158.7583846606.

Adding to 4001382 its reverse (2831004), we get a palindrome (6832386).

The spelling of 4001382 in words is "four million, one thousand, three hundred eighty-two".