52567 has 2 divisors, whose sum is σ = 52568. Its totient is φ = 52566.

The previous prime is 52561. The next prime is 52571. The reversal of 52567 is 76525.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52567 is a prime.

It is an alternating number because its digits alternate between odd and even.

52567 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26283 + 26284.

It is an arithmetic number, because the mean of its divisors is an integer number (26284).

2⁵²⁵⁶⁷ is an apocalyptic number.

52567 is a deficient number, since it is larger than the sum of its proper divisors (1).

52567 is an equidigital number, since it uses as much as digits as its factorization.

52567 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2100, while the sum is 25.

The square root of 52567 is about 229.2749441173. The cubic root of 52567 is about 37.4602838776.

The spelling of 52567 in words is "fifty-two thousand, five hundred sixty-seven".