51345 has 24 divisors (see below), whose sum is σ = 102336. Its totient is φ = 23328.

The previous prime is 51343. The next prime is 51347. The reversal of 51345 is 54315.

It is an interprime number because it is at equal distance from previous prime (51343) and next prime (51347).

It is not a de Polignac number, because 51345 - 2¹ = 51343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (4264).

2⁵¹³⁴⁵ is an apocalyptic number.

It is an amenable number.

51345 is a deficient number, since it is larger than the sum of its proper divisors (50991).

51345 is a wasteful number, since it uses less digits than its factorization.

51345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 51345 is about 226.5943512094. The cubic root of 51345 is about 37.1677312955.

The spelling of 51345 in words is "fifty-one thousand, three hundred forty-five".