4002975 has 18 divisors (see below), whose sum is σ = 7170176. Its totient is φ = 2134800.

The previous prime is 4002961. The next prime is 4002979. The reversal of 4002975 is 5792004.

It is not a de Polignac number, because 4002975 - 2⁴ = 4002959 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8671 + ... + 9120.

Almost surely, 2^4002975 is an apocalyptic number.

4002975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4002975 is a deficient number, since it is larger than the sum of its proper divisors (3167201).

4002975 is a wasteful number, since it uses less digits than its factorization.

4002975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4002975 is about 2000.7436117604. The cubic root of 4002975 is about 158.7794497620.

Adding to 4002975 its reverse (5792004), we get a palindrome (9794979).

It can be divided in two parts, 40029 and 75, that added together give a palindrome (40104).

The spelling of 4002975 in words is "four million, two thousand, nine hundred seventy-five".