357225 has 24 divisors (see below), whose sum is σ = 645792. Its totient is φ = 172800.

The previous prime is 357211. The next prime is 357229. The reversal of 357225 is 522753.

It is not a de Polignac number, because 357225 - 2⁸ = 356969 is a prime.

357225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 357195 and 357204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (26908).

2³⁵⁷²²⁵ is an apocalyptic number.

It is an amenable number.

357225 is a deficient number, since it is larger than the sum of its proper divisors (288567).

357225 is a wasteful number, since it uses less digits than its factorization.

357225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 357225 is about 597.6830263610. The cubic root of 357225 is about 70.9546096180.

Adding to 357225 its reverse (522753), we get a palindrome (879978).

It can be divided in two parts, 35 and 7225, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 357225 in words is "three hundred fifty-seven thousand, two hundred twenty-five".