27950 has 24 divisors (see below), whose sum is σ = 57288. Its totient is φ = 10080.

The previous prime is 27947. The next prime is 27953. The reversal of 27950 is 5972.

It is an interprime number because it is at equal distance from previous prime (27947) and next prime (27953).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 6 and base 13.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (2387).

2²⁷⁹⁵⁰ is an apocalyptic number.

27950 is an abundant number, since it is smaller than the sum of its proper divisors (29338).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28644).

27950 is a wasteful number, since it uses less digits than its factorization.

27950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 27950 is about 167.1825349730. The cubic root of 27950 is about 30.3478040148.

The spelling of 27950 in words is "twenty-seven thousand, nine hundred fifty".