360825 has 24 divisors (see below), whose sum is σ = 633888. Its totient is φ = 180480.

The previous prime is 360823. The next prime is 360827. The reversal of 360825 is 528063.

360825 is a nontrivial binomial coefficient, being equal to C(850, 2).

It is an interprime number because it is at equal distance from previous prime (360823) and next prime (360827).

It is not a de Polignac number, because 360825 - 2¹ = 360823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 360795 and 360804.

It is not an unprimeable number, because it can be changed into a prime (360821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (26412).

2³⁶⁰⁸²⁵ is an apocalyptic number.

360825 is the 849-th triangular number and also the 425-th hexagonal number.

It is an amenable number.

360825 is a deficient number, since it is larger than the sum of its proper divisors (273063).

360825 is a wasteful number, since it uses less digits than its factorization.

360825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 360825 is about 600.6871065705. The cubic root of 360825 is about 71.1921660572.

Adding to 360825 its reverse (528063), we get a palindrome (888888).

The spelling of 360825 in words is "three hundred sixty thousand, eight hundred twenty-five".