4003974 has 48 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 1209600.

The previous prime is 4003973. The next prime is 4003981. The reversal of 4003974 is 4793004.

It is a super-4 number, since 4×4003974⁴ (a number of 28 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003973) 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, 16494 + ... + 16734.

It is an arithmetic number, because the mean of its divisors is an integer number (198198).

Almost surely, 2^4003974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

4003974 is an abundant number, since it is smaller than the sum of its proper divisors (5509530).

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

4003974 is a wasteful number, since it uses less digits than its factorization.

4003974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4003974 is about 2000.9932533619. The cubic root of 4003974 is about 158.7926572287.

Adding to 4003974 its sum of digits (27), we get a square (4004001 = 2001²).

Adding to 4003974 its reverse (4793004), we get a palindrome (8796978).

The spelling of 4003974 in words is "four million, three thousand, nine hundred seventy-four".