221375 has 32 divisors (see below), whose sum is σ = 359424. Its totient is φ = 132000.

The previous prime is 221327. The next prime is 221393. The reversal of 221375 is 573122.

221375 = T₃₄ + T₃₅ + ... + T₁₁₀.

It is not a de Polignac number, because 221375 - 2⁶ = 221311 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9614 + ... + 9636.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2²²¹³⁷⁵ is an apocalyptic number.

221375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221375 is a deficient number, since it is larger than the sum of its proper divisors (138049).

221375 is a wasteful number, since it uses less digits than its factorization.

221375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

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

The square root of 221375 is about 470.5050477944. The cubic root of 221375 is about 60.4936131500.

Adding to 221375 its reverse (573122), we get a palindrome (794497).

It can be divided in two parts, 22137 and 5, that multiplied together give a triangular number (110685 = T₄₇₀).

The spelling of 221375 in words is "two hundred twenty-one thousand, three hundred seventy-five".