4148001 has 36 divisors (see below), whose sum is σ = 7116564. Its totient is φ = 2312640.

The previous prime is 4147991. The next prime is 4148003. The reversal of 4148001 is 1008414.

It can be written as a sum of positive squares in 2 ways, for example, as 2405601 + 1742400 = 1551^2 + 1320^2 .

It is not a de Polignac number, because 4148001 - 2⁷ = 4147873 is a prime.

It is a super-3 number, since 3×4148001³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4148003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14011 + ... + 14303.

Almost surely, 2^4148001 is an apocalyptic number.

4148001 is the 1089-th nonagonal number.

It is an amenable number.

4148001 is a deficient number, since it is larger than the sum of its proper divisors (2968563).

4148001 is a wasteful number, since it uses less digits than its factorization.

4148001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4148001 is about 2036.6641843957. The cubic root of 4148001 is about 160.6742510227.

The spelling of 4148001 in words is "four million, one hundred forty-eight thousand, one".