53627 has 8 divisors (see below), whose sum is σ = 62976. Its totient is φ = 44712.

The previous prime is 53623. The next prime is 53629. The reversal of 53627 is 72635.

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 53627 - 2² = 53623 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53627.

It is not an unprimeable number, because it can be changed into a prime (53623) 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, 248 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (7872).

2⁵³⁶²⁷ is an apocalyptic number.

53627 is a deficient number, since it is larger than the sum of its proper divisors (9349).

53627 is a wasteful number, since it uses less digits than its factorization.

53627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217.

The product of its digits is 1260, while the sum is 23.

The square root of 53627 is about 231.5750418331. The cubic root of 53627 is about 37.7104024654.

The spelling of 53627 in words is "fifty-three thousand, six hundred twenty-seven".