52345 has 12 divisors (see below), whose sum is σ = 68580. Its totient is φ = 38304.

The previous prime is 52321. The next prime is 52361. The reversal of 52345 is 54325.

52345 = T₄₅ + T₄₆ + ... + T₇₃.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 29241 = 152^2 + 171^2 .

It is not a de Polignac number, because 52345 - 2⁵ = 52313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1791 + ... + 1819.

It is an arithmetic number, because the mean of its divisors is an integer number (5715).

2⁵²³⁴⁵ is an apocalyptic number.

52345 is the 145-th heptagonal number.

It is an amenable number.

52345 is a deficient number, since it is larger than the sum of its proper divisors (16235).

52345 is a wasteful number, since it uses less digits than its factorization.

52345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its digits is 600, while the sum is 19.

The square root of 52345 is about 228.7902969971. The cubic root of 52345 is about 37.4074756044.

Subtracting from 52345 its sum of digits (19), we obtain a triangular number (52326 = T₃₂₃).

The spelling of 52345 in words is "fifty-two thousand, three hundred forty-five".