53667 has 12 divisors (see below), whose sum is σ = 79560. Its totient is φ = 34848.

The previous prime is 53657. The next prime is 53681. The reversal of 53667 is 76635.

53667 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53667 - 2⁸ = 53411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53667.

It is not an unprimeable number, because it can be changed into a prime (53617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2⁵³⁶⁶⁷ is an apocalyptic number.

53667 is a deficient number, since it is larger than the sum of its proper divisors (25893).

53667 is a wasteful number, since it uses less digits than its factorization.

53667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 53667 is about 231.6613908272. The cubic root of 53667 is about 37.7197761094.

The spelling of 53667 in words is "fifty-three thousand, six hundred sixty-seven".