31012829 has 2 divisors, whose sum is σ = 31012830. Its totient is φ = 31012828.

The previous prime is 31012823. The next prime is 31012831. The reversal of 31012829 is 92821013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30525625 + 487204 = 5525^2 + 698^2 .

It is an emirp because it is prime and its reverse (92821013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31012829 is a prime.

Together with 31012831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31012798 and 31012807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31012823) 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 as a sum of consecutive naturals, namely, 15506414 + 15506415.

It is an arithmetic number, because the mean of its divisors is an integer number (15506415).

Almost surely, 2^31012829 is an apocalyptic number.

It is an amenable number.

31012829 is a deficient number, since it is larger than the sum of its proper divisors (1).

31012829 is an equidigital number, since it uses as much as digits as its factorization.

31012829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 31012829 is about 5568.9163218709. The cubic root of 31012829 is about 314.1813934266.

The spelling of 31012829 in words is "thirty-one million, twelve thousand, eight hundred twenty-nine".