85866401 has 2 divisors, whose sum is σ = 85866402. Its totient is φ = 85866400.

The previous prime is 85866367. The next prime is 85866421. The reversal of 85866401 is 10466858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47128225 + 38738176 = 6865^2 + 6224^2 .

It is a cyclic number.

It is not a de Polignac number, because 85866401 - 2¹⁸ = 85604257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85866421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42933200 + 42933201.

It is an arithmetic number, because the mean of its divisors is an integer number (42933201).

Almost surely, 2^85866401 is an apocalyptic number.

It is an amenable number.

85866401 is a deficient number, since it is larger than the sum of its proper divisors (1).

85866401 is an equidigital number, since it uses as much as digits as its factorization.

85866401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 85866401 is about 9266.4125204957. The cubic root of 85866401 is about 441.1718093148.

The spelling of 85866401 in words is "eighty-five million, eight hundred sixty-six thousand, four hundred one".