4100007 has 16 divisors (see below), whose sum is σ = 5751680. Its totient is φ = 2594592.

The previous prime is 4099981. The next prime is 4100011. The reversal of 4100007 is 7000014.

It is not a de Polignac number, because 4100007 - 2⁶ = 4099943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4099965 and 4100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100207) 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, 4344 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (359480).

Almost surely, 2^4100007 is an apocalyptic number.

4100007 is a deficient number, since it is larger than the sum of its proper divisors (1651673).

4100007 is a wasteful number, since it uses less digits than its factorization.

4100007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 4100007 is about 2024.8474016577. The cubic root of 4100007 is about 160.0521574748.

The spelling of 4100007 in words is "four million, one hundred thousand, seven".