152321 has 4 divisors (see below), whose sum is σ = 164052. Its totient is φ = 140592.

The previous prime is 152311. The next prime is 152363. The reversal of 152321 is 123251.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123251 = 59 ⋅2089.

It can be written as a sum of positive squares in 2 ways, for example, as 7921 + 144400 = 89^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 152321 - 2¹⁴ = 135937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 152296 and 152305.

It is not an unprimeable number, because it can be changed into a prime (152311) 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, 5846 + ... + 5871.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2¹⁵²³²¹ is an apocalyptic number.

It is an amenable number.

152321 is a deficient number, since it is larger than the sum of its proper divisors (11731).

152321 is a wasteful number, since it uses less digits than its factorization.

152321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730.

The product of its digits is 60, while the sum is 14.

The square root of 152321 is about 390.2832304878. The cubic root of 152321 is about 53.4055748457.

Adding to 152321 its reverse (123251), we get a palindrome (275572).

The spelling of 152321 in words is "one hundred fifty-two thousand, three hundred twenty-one".