53213 has 4 divisors (see below), whose sum is σ = 53760. Its totient is φ = 52668.

The previous prime is 53201. The next prime is 53231. The reversal of 53213 is 31235.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31235 = 5 ⋅6247.

It is a cyclic number.

It is not a de Polignac number, because 53213 - 2⁴ = 53197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2⁵³²¹³ is an apocalyptic number.

It is an amenable number.

53213 is a deficient number, since it is larger than the sum of its proper divisors (547).

53213 is a wasteful number, since it uses less digits than its factorization.

53213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546.

The product of its digits is 90, while the sum is 14.

The square root of 53213 is about 230.6794312460. The cubic root of 53213 is about 37.6131103369.

Adding to 53213 its reverse (31235), we get a palindrome (84448).

It can be divided in two parts, 532 and 13, that added together give a palindrome (545).

The spelling of 53213 in words is "fifty-three thousand, two hundred thirteen".