52967 has 2 divisors, whose sum is σ = 52968. Its totient is φ = 52966.

The previous prime is 52963. The next prime is 52973. The reversal of 52967 is 76925.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 52967 - 2² = 52963 is a prime.

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

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52967.

It is not a weakly prime, because it can be changed into another prime (52963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26483 + 26484.

It is an arithmetic number, because the mean of its divisors is an integer number (26484).

2⁵²⁹⁶⁷ is an apocalyptic number.

52967 is a deficient number, since it is larger than the sum of its proper divisors (1).

52967 is an equidigital number, since it uses as much as digits as its factorization.

52967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 29.

The square root of 52967 is about 230.1456060845. The cubic root of 52967 is about 37.5550598588. Note that the first 3 decimals are identical.

The spelling of 52967 in words is "fifty-two thousand, nine hundred sixty-seven".