362025 has 18 divisors (see below), whose sum is σ = 648830. Its totient is φ = 192960.

The previous prime is 362003. The next prime is 362027. The reversal of 362025 is 520263.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 257049 = 324^2 + 507^2 .

It is not a de Polignac number, because 362025 - 2⁵ = 361993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 361989 and 362007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362025.

It is not an unprimeable number, because it can be changed into a prime (362027) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 580 + ... + 1029.

2³⁶²⁰²⁵ is an apocalyptic number.

It is an amenable number.

362025 is a deficient number, since it is larger than the sum of its proper divisors (286805).

362025 is a wasteful number, since it uses less digits than its factorization.

362025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 362025 is about 601.6851336039. The cubic root of 362025 is about 71.2710002733.

Adding to 362025 its reverse (520263), we get a palindrome (882288).

It can be divided in two parts, 36 and 2025, that multiplied together give a square (72900 = 270²).

The spelling of 362025 in words is "three hundred sixty-two thousand, twenty-five".