83077031 has 2 divisors, whose sum is σ = 83077032. Its totient is φ = 83077030.

The previous prime is 83077003. The next prime is 83077039. The reversal of 83077031 is 13077038.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 83077031 - 2²⁶ = 15968167 is a prime.

It is a super-2 number, since 2×83077031² = 13803586159549922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83076985 and 83077003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83077039) 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, 41538515 + 41538516.

It is an arithmetic number, because the mean of its divisors is an integer number (41538516).

Almost surely, 2^83077031 is an apocalyptic number.

83077031 is a deficient number, since it is larger than the sum of its proper divisors (1).

83077031 is an equidigital number, since it uses as much as digits as its factorization.

83077031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 83077031 is about 9114.6602240566. The cubic root of 83077031 is about 436.3419710690.

The spelling of 83077031 in words is "eighty-three million, seventy-seven thousand, thirty-one".