85124801 has 2 divisors, whose sum is σ = 85124802. Its totient is φ = 85124800.

The previous prime is 85124777. The next prime is 85124803. The reversal of 85124801 is 10842158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62094400 + 23030401 = 7880^2 + 4799^2 .

It is a cyclic number.

It is not a de Polignac number, because 85124801 - 2⁶ = 85124737 is a prime.

It is a Sophie Germain prime.

Together with 85124803, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (85124803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42562400 + 42562401.

It is an arithmetic number, because the mean of its divisors is an integer number (42562401).

Almost surely, 2^85124801 is an apocalyptic number.

It is an amenable number.

85124801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85124801 is an equidigital number, since it uses as much as digits as its factorization.

85124801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 85124801 is about 9226.3102592532. The cubic root of 85124801 is about 439.8980497265.

Adding to 85124801 its reverse (10842158), we get a palindrome (95966959).

It can be divided in two parts, 851 and 24801, that added together give a palindrome (25652).

The spelling of 85124801 in words is "eighty-five million, one hundred twenty-four thousand, eight hundred one".