83031029 has 2 divisors, whose sum is σ = 83031030. Its totient is φ = 83031028.

The previous prime is 83031001. The next prime is 83031041. The reversal of 83031029 is 92013038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77616100 + 5414929 = 8810^2 + 2327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83031029 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83030989 and 83031007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83031079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41515514 + 41515515.

It is an arithmetic number, because the mean of its divisors is an integer number (41515515).

Almost surely, 2^83031029 is an apocalyptic number.

It is an amenable number.

83031029 is a deficient number, since it is larger than the sum of its proper divisors (1).

83031029 is an equidigital number, since it uses as much as digits as its factorization.

83031029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 83031029 is about 9112.1363576277. The cubic root of 83031029 is about 436.2614180803.

Subtracting 83031029 from its reverse (92013038), we obtain a square (8982009 = 2997²).

The spelling of 83031029 in words is "eighty-three million, thirty-one thousand, twenty-nine".