52627 has 2 divisors, whose sum is σ = 52628. Its totient is φ = 52626.

The previous prime is 52609. The next prime is 52631. The reversal of 52627 is 72625.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52627 is a prime.

It is a super-2 number, since 2×52627² = 5539202258, which contains 22 as substring.

52627 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 52598 and 52607.

It is not a weakly prime, because it can be changed into another prime (52667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26313 + 26314.

It is an arithmetic number, because the mean of its divisors is an integer number (26314).

2⁵²⁶²⁷ is an apocalyptic number.

52627 is a deficient number, since it is larger than the sum of its proper divisors (1).

52627 is an equidigital number, since it uses as much as digits as its factorization.

52627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 52627 is about 229.4057540691. The cubic root of 52627 is about 37.4745308540.

The spelling of 52627 in words is "fifty-two thousand, six hundred twenty-seven".