85401897 has 64 divisors (see below), whose sum is σ = 145774080. Its totient is φ = 43352064.

The previous prime is 85401881. The next prime is 85401907. The reversal of 85401897 is 79810458.

It is not a de Polignac number, because 85401897 - 2⁴ = 85401881 is a prime.

It is a super-2 number, since 2×85401897² = 14586968022397218, which contains 22 as substring.

85401897 is a modest number, since divided by 1897 gives 854 as remainder.

It is not an unprimeable number, because it can be changed into a prime (85401817) 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 in 63 ways as a sum of consecutive naturals, for example, 755713 + ... + 755825.

It is an arithmetic number, because the mean of its divisors is an integer number (2277720).

Almost surely, 2^85401897 is an apocalyptic number.

85401897 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85401897 is a deficient number, since it is larger than the sum of its proper divisors (60372183).

85401897 is a wasteful number, since it uses less digits than its factorization.

85401897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 85401897 is about 9241.3146792001. The cubic root of 85401897 is about 440.3748475778.

The spelling of 85401897 in words is "eighty-five million, four hundred one thousand, eight hundred ninety-seven".