34031 has 2 divisors, whose sum is σ = 34032. Its totient is φ = 34030.

The previous prime is 34019. The next prime is 34033. The reversal of 34031 is 13043.

It is a strong prime.

It is an emirp because it is prime and its reverse (13043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34031 - 2⁶ = 33967 is a prime.

It is a super-2 number, since 2×34031² = 2316217922, which contains 22 as substring.

Together with 34033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34031.

It is not a weakly prime, because it can be changed into another prime (34033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17015 + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (17016).

2³⁴⁰³¹ is an apocalyptic number.

34031 is the 83-rd centered decagonal number.

34031 is a deficient number, since it is larger than the sum of its proper divisors (1).

34031 is an equidigital number, since it uses as much as digits as its factorization.

34031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 34031 is about 184.4749305461. The cubic root of 34031 is about 32.4059609009.

Adding to 34031 its reverse (13043), we get a palindrome (47074).

The spelling of 34031 in words is "thirty-four thousand, thirty-one".