20627 has 2 divisors, whose sum is σ = 20628. Its totient is φ = 20626.

The previous prime is 20611. The next prime is 20639. The reversal of 20627 is 72602.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20627 - 2⁴ = 20611 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20627.

It is not a weakly prime, because it can be changed into another prime (20327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10313 + 10314.

It is an arithmetic number, because the mean of its divisors is an integer number (10314).

2²⁰⁶²⁷ is an apocalyptic number.

20627 is a deficient number, since it is larger than the sum of its proper divisors (1).

20627 is an equidigital number, since it uses as much as digits as its factorization.

20627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 20627 is about 143.6210291009. The cubic root of 20627 is about 27.4249191669.

The spelling of 20627 in words is "twenty thousand, six hundred twenty-seven".