85738801 has 2 divisors, whose sum is σ = 85738802. Its totient is φ = 85738800.

The previous prime is 85738787. The next prime is 85738813. The reversal of 85738801 is 10883758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 361201 = 9240^2 + 601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85738801 is a prime.

It is a super-2 number, since 2×85738801² = 14702283993835202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85738501) 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, 42869400 + 42869401.

It is an arithmetic number, because the mean of its divisors is an integer number (42869401).

Almost surely, 2^85738801 is an apocalyptic number.

It is an amenable number.

85738801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85738801 is an equidigital number, since it uses as much as digits as its factorization.

85738801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 85738801 is about 9259.5248798197. The cubic root of 85738801 is about 440.9531695447.

The spelling of 85738801 in words is "eighty-five million, seven hundred thirty-eight thousand, eight hundred one".