361125 has 32 divisors (see below), whose sum is σ = 673920. Its totient is φ = 190800.

The previous prime is 361111. The next prime is 361159. The reversal of 361125 is 521163.

It is not a de Polignac number, because 361125 - 2⁵ = 361093 is a prime.

It is a super-2 number, since 2×361125² = 260822531250, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 361098 and 361107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3322 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2³⁶¹¹²⁵ is an apocalyptic number.

It is an amenable number.

361125 is a deficient number, since it is larger than the sum of its proper divisors (312795).

361125 is a wasteful number, since it uses less digits than its factorization.

361125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 361125 is about 600.9367687203. The cubic root of 361125 is about 71.2118909779.

Adding to 361125 its reverse (521163), we get a palindrome (882288).

The spelling of 361125 in words is "three hundred sixty-one thousand, one hundred twenty-five".