3101007 has 32 divisors (see below), whose sum is σ = 5243392. Its totient is φ = 1586304.

The previous prime is 3100991. The next prime is 3101029. The reversal of 3101007 is 7001013.

It is not a de Polignac number, because 3101007 - 2⁴ = 3100991 is a prime.

It is a D-number.

3101007 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3100983 and 3101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9948 + ... + 10254.

It is an arithmetic number, because the mean of its divisors is an integer number (163856).

Almost surely, 2^3101007 is an apocalyptic number.

3101007 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3101007 is a deficient number, since it is larger than the sum of its proper divisors (2142385).

3101007 is a wasteful number, since it uses less digits than its factorization.

3101007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 3101007 is about 1760.9676317298. The cubic root of 3101007 is about 145.8257601147.

The spelling of 3101007 in words is "three million, one hundred one thousand, seven".