51964 has 12 divisors (see below), whose sum is σ = 99288. Its totient is φ = 23600.

The previous prime is 51949. The next prime is 51971. The reversal of 51964 is 46915.

51964 = T₈₇ + T₈₈ + ... + T₉₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (8274).

2⁵¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

51964 is a deficient number, since it is larger than the sum of its proper divisors (47324).

51964 is a wasteful number, since it uses less digits than its factorization.

51964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 51964 is about 227.9561361315. The cubic root of 51964 is about 37.3164960924.

The spelling of 51964 in words is "fifty-one thousand, nine hundred sixty-four".