4100031 has 16 divisors (see below), whose sum is σ = 6541920. Its totient is φ = 2522880.

The previous prime is 4100023. The next prime is 4100051. The reversal of 4100031 is 1300014.

It is not a de Polignac number, because 4100031 - 2³ = 4100023 is a prime.

It is a super-2 number, since 2×4100031² = 33620508401922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4099986 and 4100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (408870).

Almost surely, 2^4100031 is an apocalyptic number.

4100031 is a deficient number, since it is larger than the sum of its proper divisors (2441889).

4100031 is a wasteful number, since it uses less digits than its factorization.

4100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11703 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4100031 is about 2024.8533280216. The cubic root of 4100031 is about 160.0524697706.

Adding to 4100031 its reverse (1300014), we get a palindrome (5400045).

The spelling of 4100031 in words is "four million, one hundred thousand, thirty-one".