214625 has 16 divisors (see below), whose sum is σ = 286416. Its totient is φ = 160000.

The previous prime is 214607. The next prime is 214631. The reversal of 214625 is 526412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5776 + 208849 = 76^2 + 457^2 .

It is not a de Polignac number, because 214625 - 2⁶ = 214561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214597 and 214606.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (17901).

2²¹⁴⁶²⁵ is an apocalyptic number.

214625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214625 is a deficient number, since it is larger than the sum of its proper divisors (71791).

214625 is a wasteful number, since it uses less digits than its factorization.

214625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 214625 is about 463.2763753959. The cubic root of 214625 is about 59.8724140747.

The spelling of 214625 in words is "two hundred fourteen thousand, six hundred twenty-five".