4005897 has 32 divisors (see below), whose sum is σ = 6624000. Its totient is φ = 2145024.

The previous prime is 4005893. The next prime is 4005901. The reversal of 4005897 is 7985004.

It is an interprime number because it is at equal distance from previous prime (4005893) and next prime (4005901).

It is not a de Polignac number, because 4005897 - 2² = 4005893 is a prime.

4005897 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4005893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17379 + ... + 17607.

It is an arithmetic number, because the mean of its divisors is an integer number (207000).

Almost surely, 2^4005897 is an apocalyptic number.

It is an amenable number.

4005897 is a deficient number, since it is larger than the sum of its proper divisors (2618103).

4005897 is a wasteful number, since it uses less digits than its factorization.

4005897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 4005897 is about 2001.4737070469. The cubic root of 4005897 is about 158.8180744273.

The spelling of 4005897 in words is "four million, five thousand, eight hundred ninety-seven".