4001307 has 16 divisors (see below), whose sum is σ = 5738112. Its totient is φ = 2471040.

The previous prime is 4001303. The next prime is 4001339. The reversal of 4001307 is 7031004.

It is not a de Polignac number, because 4001307 - 2² = 4001303 is a prime.

4001307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4001303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832 + ... + 4002.

It is an arithmetic number, because the mean of its divisors is an integer number (358632).

Almost surely, 2^4001307 is an apocalyptic number.

4001307 is a deficient number, since it is larger than the sum of its proper divisors (1736805).

4001307 is a wasteful number, since it uses less digits than its factorization.

4001307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 4001307 is about 2000.3267233130. The cubic root of 4001307 is about 158.7573927572.

The spelling of 4001307 in words is "four million, one thousand, three hundred seven".