214513 has 8 divisors (see below), whose sum is σ = 239400. Its totient is φ = 190848.

The previous prime is 214507. The next prime is 214517. The reversal of 214513 is 315412.

214513 = 327² + 328².

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 214369 = 12^2 + 463^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214513 - 2⁵ = 214481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2²¹⁴⁵¹³ is an apocalyptic number.

214513 is the 328-th centered square number.

It is an amenable number.

214513 is a deficient number, since it is larger than the sum of its proper divisors (24887).

214513 is a wasteful number, since it uses less digits than its factorization.

214513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611.

The product of its digits is 120, while the sum is 16.

The square root of 214513 is about 463.1554814530. The cubic root of 214513 is about 59.8619976473.

Adding to 214513 its reverse (315412), we get a palindrome (529925).

It can be divided in two parts, 214 and 513, that added together give a palindrome (727).

The spelling of 214513 in words is "two hundred fourteen thousand, five hundred thirteen".