385702961 has 12 divisors (see below), whose sum is σ = 463150080. Its totient is φ = 319936680.

The previous prime is 385702927. The next prime is 385702963. The reversal of 385702961 is 169207583.

It is not a de Polignac number, because 385702961 - 2⁶ = 385702897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385702963) 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, 125441 + ... + 128478.

It is an arithmetic number, because the mean of its divisors is an integer number (38595840).

Almost surely, 2^385702961 is an apocalyptic number.

385702961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

385702961 is a deficient number, since it is larger than the sum of its proper divisors (77447119).

385702961 is a wasteful number, since it uses less digits than its factorization.

385702961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253964 (or 253957 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 385702961 is about 19639.3218060095. The cubic root of 385702961 is about 727.9211268100.

The spelling of 385702961 in words is "three hundred eighty-five million, seven hundred two thousand, nine hundred sixty-one".