85292329 has 2 divisors, whose sum is σ = 85292330. Its totient is φ = 85292328.

The previous prime is 85292293. The next prime is 85292351. The reversal of 85292329 is 92329258.

Together with previous prime (85292293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72675625 + 12616704 = 8525^2 + 3552^2 .

It is a cyclic number.

It is not a de Polignac number, because 85292329 - 2¹⁵ = 85259561 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 85292291 and 85292300.

It is not a weakly prime, because it can be changed into another prime (85292359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42646164 + 42646165.

It is an arithmetic number, because the mean of its divisors is an integer number (42646165).

Almost surely, 2^85292329 is an apocalyptic number.

It is an amenable number.

85292329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85292329 is an equidigital number, since it uses as much as digits as its factorization.

85292329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 40.

The square root of 85292329 is about 9235.3846157050. The cubic root of 85292329 is about 440.1864378642.

The spelling of 85292329 in words is "eighty-five million, two hundred ninety-two thousand, three hundred twenty-nine".