385001901 has 12 divisors (see below), whose sum is σ = 557098620. Its totient is φ = 256213440.

The previous prime is 385001893. The next prime is 385001933. The reversal of 385001901 is 109100583.

It can be written as a sum of positive squares in 2 ways, for example, as 144720900 + 240281001 = 12030^2 + 15501^2 .

It is not a de Polignac number, because 385001901 - 2³ = 385001893 is a prime.

It is a super-2 number, since 2×385001901² = 296452927547227602, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385001951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32470 + ... + 42711.

It is an arithmetic number, because the mean of its divisors is an integer number (46424885).

Almost surely, 2^385001901 is an apocalyptic number.

It is an amenable number.

385001901 is a deficient number, since it is larger than the sum of its proper divisors (172096719).

385001901 is a wasteful number, since it uses less digits than its factorization.

385001901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75756 (or 75753 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 385001901 is about 19621.4653122543. The cubic root of 385001901 is about 727.4798322251.

It can be divided in two parts, 38500 and 1901, that added together give a square (40401 = 201²).

The spelling of 385001901 in words is "three hundred eighty-five million, one thousand, nine hundred one".