385351681 has 32 divisors (see below), whose sum is σ = 479445120. Its totient is φ = 304819200.

The previous prime is 385351679. The next prime is 385351691. The reversal of 385351681 is 186153583.

It is a 5-Lehmer number, since φ(385351681) divides (385351681-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 385351681 - 2¹ = 385351679 is a prime.

It is a super-2 number, since 2×385351681² = 296991836099051522, which contains 22 as substring.

It is a deceptive number, since it divides R_385351680.

It is not an unprimeable number, because it can be changed into a prime (385351691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177241 + ... + 179401.

It is an arithmetic number, because the mean of its divisors is an integer number (14982660).

It is a Proth number, since it is equal to 735 ⋅ 2¹⁹ + 1 and 735 < 2¹⁹.

Almost surely, 2^385351681 is an apocalyptic number.

It is an amenable number.

385351681 is a deficient number, since it is larger than the sum of its proper divisors (94093439).

385351681 is a wasteful number, since it uses less digits than its factorization.

385351681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257.

The product of its digits is 86400, while the sum is 40.

The square root of 385351681 is about 19630.3764864559. The cubic root of 385351681 is about 727.7000743194.

The spelling of 385351681 in words is "three hundred eighty-five million, three hundred fifty-one thousand, six hundred eighty-one".