10452 has 24 divisors (see below), whose sum is σ = 26656. Its totient is φ = 3168.

The previous prime is 10433. The next prime is 10453. The reversal of 10452 is 25401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10452.

It is not an unprimeable number, because it can be changed into a prime (10453) by changing a digit.

10452 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 in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 189.

2¹⁰⁴⁵² is an apocalyptic number.

10452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328).

10452 is an abundant number, since it is smaller than the sum of its proper divisors (16204).

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

10452 is a wasteful number, since it uses less digits than its factorization.

10452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10452 is about 102.2350233531. The cubic root of 10452 is about 21.8641769589.

Subtracting from 10452 its sum of digits (12), we obtain a triangular number (10440 = T₁₄₄).

Adding to 10452 its reverse (25401), we get a palindrome (35853).

The spelling of 10452 in words is "ten thousand, four hundred fifty-two".