85916801 has 2 divisors, whose sum is σ = 85916802. Its totient is φ = 85916800.

The previous prime is 85916791. The next prime is 85916843. The reversal of 85916801 is 10861958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63600625 + 22316176 = 7975^2 + 4724^2 .

It is a cyclic number.

It is not a de Polignac number, because 85916801 - 2⁶ = 85916737 is a prime.

It is not a weakly prime, because it can be changed into another prime (85918801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42958400 + 42958401.

It is an arithmetic number, because the mean of its divisors is an integer number (42958401).

Almost surely, 2^85916801 is an apocalyptic number.

It is an amenable number.

85916801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85916801 is an equidigital number, since it uses as much as digits as its factorization.

85916801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 85916801 is about 9269.1316205996. The cubic root of 85916801 is about 441.2581089228.

The spelling of 85916801 in words is "eighty-five million, nine hundred sixteen thousand, eight hundred one".