361825 has 12 divisors (see below), whose sum is σ = 460908. Its totient is φ = 281600.

The previous prime is 361807. The next prime is 361843. The reversal of 361825 is 528163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (361807) and next prime (361843).

It can be written as a sum of positive squares in 6 ways, for example, as 74529 + 287296 = 273^2 + 536^2 .

It is not a de Polignac number, because 361825 - 2⁵ = 361793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 361825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (38409).

2³⁶¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

361825 is a deficient number, since it is larger than the sum of its proper divisors (99083).

361825 is a wasteful number, since it uses less digits than its factorization.

361825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 361825 is about 601.5189107584. The cubic root of 361825 is about 71.2578733476.

Adding to 361825 its reverse (528163), we get a palindrome (889988).

The spelling of 361825 in words is "three hundred sixty-one thousand, eight hundred twenty-five".