213275 has 12 divisors (see below), whose sum is σ = 279000. Its totient is φ = 161280.

The previous prime is 213263. The next prime is 213281. The reversal of 213275 is 572312.

It is not a de Polignac number, because 213275 - 2⁸ = 213019 is a prime.

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, 251 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (23250).

2²¹³²⁷⁵ is an apocalyptic number.

213275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213275 is a deficient number, since it is larger than the sum of its proper divisors (65725).

213275 is a wasteful number, since it uses less digits than its factorization.

213275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 213275 is about 461.8170633487. The cubic root of 213275 is about 59.7466166394.

Adding to 213275 its reverse (572312), we get a palindrome (785587).

The spelling of 213275 in words is "two hundred thirteen thousand, two hundred seventy-five".