4005953 has 8 divisors (see below), whose sum is σ = 4702272. Its totient is φ = 3340656.

The previous prime is 4005943. The next prime is 4005959. The reversal of 4005953 is 3595004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4005953 - 2⁶ = 4005889 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4005959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7475 + ... + 7992.

It is an arithmetic number, because the mean of its divisors is an integer number (587784).

Almost surely, 2^4005953 is an apocalyptic number.

It is an amenable number.

4005953 is a deficient number, since it is larger than the sum of its proper divisors (696319).

4005953 is a wasteful number, since it uses less digits than its factorization.

4005953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15511.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 4005953 is about 2001.4876966896. The cubic root of 4005953 is about 158.8188144839.

The spelling of 4005953 in words is "four million, five thousand, nine hundred fifty-three".