51967 has 4 divisors (see below), whose sum is σ = 52456. Its totient is φ = 51480.

The previous prime is 51949. The next prime is 51971. The reversal of 51967 is 76915.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 76915 = 5 ⋅15383.

It is a cyclic number.

It is not a de Polignac number, because 51967 - 2⁷ = 51839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51907) 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, 9 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (13114).

2⁵¹⁹⁶⁷ is an apocalyptic number.

51967 is a deficient number, since it is larger than the sum of its proper divisors (489).

51967 is a wasteful number, since it uses less digits than its factorization.

51967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488.

The product of its digits is 1890, while the sum is 28.

The square root of 51967 is about 227.9627162498. The cubic root of 51967 is about 37.3172142007.

The spelling of 51967 in words is "fifty-one thousand, nine hundred sixty-seven".