51567 has 4 divisors (see below), whose sum is σ = 68760. Its totient is φ = 34376.

The previous prime is 51563. The next prime is 51577. The reversal of 51567 is 76515.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 51567 - 2² = 51563 is a prime.

It is a D-number.

51567 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8592 + ... + 8597.

It is an arithmetic number, because the mean of its divisors is an integer number (17190).

2⁵¹⁵⁶⁷ is an apocalyptic number.

51567 is a deficient number, since it is larger than the sum of its proper divisors (17193).

51567 is a wasteful number, since it uses less digits than its factorization.

51567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192.

The product of its digits is 1050, while the sum is 24.

The square root of 51567 is about 227.0836850150. The cubic root of 51567 is about 37.2212215600.

The spelling of 51567 in words is "fifty-one thousand, five hundred sixty-seven".