152824 has 16 divisors (see below), whose sum is σ = 327600. Its totient is φ = 65472.

The previous prime is 152821. The next prime is 152833. The reversal of 152824 is 428251.

152824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152795 and 152804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1309 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2¹⁵²⁸²⁴ is an apocalyptic number.

152824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152824 is an abundant number, since it is smaller than the sum of its proper divisors (174776).

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

152824 is a wasteful number, since it uses less digits than its factorization.

152824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 152824 is about 390.9271031791. The cubic root of 152824 is about 53.4642962059.

It can be divided in two parts, 1 and 52824, that added together give a palindrome (52825).

The spelling of 152824 in words is "one hundred fifty-two thousand, eight hundred twenty-four".