163712385 has 48 divisors (see below), whose sum is σ = 294250320. Its totient is φ = 84142080.

The previous prime is 163712377. The next prime is 163712399. The reversal of 163712385 is 583217361.

163712385 is a `hidden beast` number, since 1 + 637 + 12 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15944049 + 147768336 = 3993^2 + 12156^2 .

It is not a de Polignac number, because 163712385 - 2³ = 163712377 is a prime.

It is a super-3 number, since 3×163712385³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163707 + ... + 164703.

It is an arithmetic number, because the mean of its divisors is an integer number (6130215).

Almost surely, 2^163712385 is an apocalyptic number.

163712385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163712385 is a deficient number, since it is larger than the sum of its proper divisors (130537935).

163712385 is a wasteful number, since it uses less digits than its factorization.

163712385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1135 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 163712385 is about 12795.0140679876. The cubic root of 163712385 is about 547.0501966463.

The spelling of 163712385 in words is "one hundred sixty-three million, seven hundred twelve thousand, three hundred eighty-five".