51935 has 16 divisors (see below), whose sum is σ = 72576. Its totient is φ = 35328.

The previous prime is 51929. The next prime is 51941. The reversal of 51935 is 53915.

It is an interprime number because it is at equal distance from previous prime (51929) and next prime (51941).

It is a cyclic number.

It is not a de Polignac number, because 51935 - 2⁶ = 51871 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51935.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 1082 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

It is the magic constant of a 47 × 47 magic square.

2⁵¹⁹³⁵ is an apocalyptic number.

51935 is a deficient number, since it is larger than the sum of its proper divisors (20641).

51935 is a wasteful number, since it uses less digits than its factorization.

51935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 675, while the sum is 23.

The square root of 51935 is about 227.8925185257. The cubic root of 51935 is about 37.3095529538.

The spelling of 51935 in words is "fifty-one thousand, nine hundred thirty-five".