13952 has 16 divisors (see below), whose sum is σ = 28050. Its totient is φ = 6912.

The previous prime is 13933. The next prime is 13963. The reversal of 13952 is 25931.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 3136 = 104^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 8.

It is an unprimeable number.

13952 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74 + ... + 182.

2¹³⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025).

13952 is an abundant number, since it is smaller than the sum of its proper divisors (14098).

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

13952 is an equidigital number, since it uses as much as digits as its factorization.

13952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 13952 is about 118.1185844819. The cubic root of 13952 is about 24.0738466192.

It can be divided in two parts, 139 and 52, that added together give a palindrome (191).

The spelling of 13952 in words is "thirteen thousand, nine hundred fifty-two".