86583401 has 2 divisors, whose sum is σ = 86583402. Its totient is φ = 86583400.

The previous prime is 86583391. The next prime is 86583407. The reversal of 86583401 is 10438568.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62031376 + 24552025 = 7876^2 + 4955^2 .

It is a cyclic number.

It is not a de Polignac number, because 86583401 - 2¹⁴ = 86567017 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (86583407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43291700 + 43291701.

It is an arithmetic number, because the mean of its divisors is an integer number (43291701).

Almost surely, 2^86583401 is an apocalyptic number.

It is an amenable number.

86583401 is a deficient number, since it is larger than the sum of its proper divisors (1).

86583401 is an equidigital number, since it uses as much as digits as its factorization.

86583401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 86583401 is about 9305.0202041694. The cubic root of 86583401 is about 442.3963620376.

The spelling of 86583401 in words is "eighty-six million, five hundred eighty-three thousand, four hundred one".