53838213 has 16 divisors (see below), whose sum is σ = 84334656. Its totient is φ = 30119040.

The previous prime is 53838209. The next prime is 53838217. The reversal of 53838213 is 31283835.

It is an interprime number because it is at equal distance from previous prime (53838209) and next prime (53838217).

It is not a de Polignac number, because 53838213 - 2² = 53838209 is a prime.

It is a super-3 number, since 3×53838213³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53838217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62320 + ... + 63177.

It is an arithmetic number, because the mean of its divisors is an integer number (5270916).

Almost surely, 2^53838213 is an apocalyptic number.

It is an amenable number.

53838213 is a deficient number, since it is larger than the sum of its proper divisors (30496443).

53838213 is a wasteful number, since it uses less digits than its factorization.

53838213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125524.

The product of its digits is 17280, while the sum is 33.

The square root of 53838213 is about 7337.4527596435. The cubic root of 53838213 is about 377.5984580106.

The spelling of 53838213 in words is "fifty-three million, eight hundred thirty-eight thousand, two hundred thirteen".