85853401 has 2 divisors, whose sum is σ = 85853402. Its totient is φ = 85853400.

The previous prime is 85853399. The next prime is 85853407. The reversal of 85853401 is 10435858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60047001 + 25806400 = 7749^2 + 5080^2 .

It is a cyclic number.

It is not a de Polignac number, because 85853401 - 2¹ = 85853399 is a prime.

Together with 85853399, it forms a pair of twin primes.

It is equal to p_4990462 and since 85853401 and 4990462 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85853407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42926700 + 42926701.

It is an arithmetic number, because the mean of its divisors is an integer number (42926701).

Almost surely, 2^85853401 is an apocalyptic number.

It is an amenable number.

85853401 is a deficient number, since it is larger than the sum of its proper divisors (1).

85853401 is an equidigital number, since it uses as much as digits as its factorization.

85853401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 85853401 is about 9265.7110358569. The cubic root of 85853401 is about 441.1495440169.

The spelling of 85853401 in words is "eighty-five million, eight hundred fifty-three thousand, four hundred one".