163950 has 24 divisors (see below), whose sum is σ = 406968. Its totient is φ = 43680.

The previous prime is 163927. The next prime is 163973. The reversal of 163950 is 59361.

It is an interprime number because it is at equal distance from previous prime (163927) and next prime (163973).

It is a self number, because there is not a number n which added to its sum of digits gives 163950.

It is a congruent number.

It is an unprimeable number.

163950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (16957).

2¹⁶³⁹⁵⁰ is an apocalyptic number.

163950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163950 is an abundant number, since it is smaller than the sum of its proper divisors (243018).

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

163950 is a wasteful number, since it uses less digits than its factorization.

163950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 163950 is about 404.9073968206. The cubic root of 163950 is about 54.7314734756.

The spelling of 163950 in words is "one hundred sixty-three thousand, nine hundred fifty".