53067 has 18 divisors (see below), whose sum is σ = 86868. Its totient is φ = 28728.

The previous prime is 53051. The next prime is 53069. The reversal of 53067 is 76035.

53067 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 53067 - 2⁴ = 53051 is a prime.

It is a super-2 number, since 2×53067² = 5632212978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

53067 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (53069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2784 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (4826).

2⁵³⁰⁶⁷ is an apocalyptic number.

53067 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

53067 is a deficient number, since it is larger than the sum of its proper divisors (33801).

53067 is a wasteful number, since it uses less digits than its factorization.

53067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 53067 is about 230.3627574067. The cubic root of 53067 is about 37.5786792510.

The spelling of 53067 in words is "fifty-three thousand, sixty-seven".