2152 has 8 divisors (see below), whose sum is σ = 4050. Its totient is φ = 1072.

The previous prime is 2143. The next prime is 2153. The reversal of 2152 is 2512.

2152 is nontrivially palindromic in base 14 and base 16.

2152 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 2116 + 36 = 46^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×2152² = 9262208, which contains 22 as substring.

2152 is an undulating number in base 14 and base 16.

It is a nialpdrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2153) by changing a digit.

2152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127 + ... + 142.

It is an amenable number.

2152 is a deficient number, since it is larger than the sum of its proper divisors (1898).

2152 is a wasteful number, since it uses less digits than its factorization.

2152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its digits is 20, while the sum is 10.

The square root of 2152 is about 46.3896540190. The cubic root of 2152 is about 12.9106296219.

Adding to 2152 its reverse (2512), we get a palindrome (4664).

The spelling of 2152 in words is "two thousand, one hundred fifty-two".