152325 has 18 divisors (see below), whose sum is σ = 273234. Its totient is φ = 81120.

The previous prime is 152311. The next prime is 152363. The reversal of 152325 is 523251.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 49284 + 103041 = 222^2 + 321^2 .

It is not a de Polignac number, because 152325 - 2⁵ = 152293 is a prime.

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 = 152298 and 152307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114 + ... + 563.

2¹⁵²³²⁵ is an apocalyptic number.

152325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152325 is a deficient number, since it is larger than the sum of its proper divisors (120909).

152325 is a wasteful number, since it uses less digits than its factorization.

152325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 152325 is about 390.2883549377. The cubic root of 152325 is about 53.4060423243.

Adding to 152325 its reverse (523251), we get a palindrome (675576).

It can be divided in two parts, 1 and 52325, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 152325 in words is "one hundred fifty-two thousand, three hundred twenty-five".