163835946 has 48 divisors (see below), whose sum is σ = 384156864. Its totient is φ = 52233984.

The previous prime is 163835933. The next prime is 163835957. The reversal of 163835946 is 649538361.

163835946 is a `hidden beast` number, since 1 + 638 + 3 + 5 + 9 + 4 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (8003268).

Almost surely, 2^163835946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163835946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192078432).

163835946 is an abundant number, since it is smaller than the sum of its proper divisors (220320918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163835946 is a wasteful number, since it uses less digits than its factorization.

163835946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14685 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 163835946 is about 12799.8416396454. The cubic root of 163835946 is about 547.1877897206.

The spelling of 163835946 in words is "one hundred sixty-three million, eight hundred thirty-five thousand, nine hundred forty-six".