168345 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 84672.

The previous prime is 168331. The next prime is 168347. The reversal of 168345 is 543861.

It is not a de Polignac number, because 168345 - 2⁶ = 168281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (2880) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3894 + ... + 3936.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2¹⁶⁸³⁴⁵ is an apocalyptic number.

168345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168345 is a deficient number, since it is larger than the sum of its proper divisors (148455).

168345 is a wasteful number, since it uses less digits than its factorization.

168345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 168345 is about 410.2986717015. The cubic root of 168345 is about 55.2162286877.

It can be divided in two parts, 1683 and 45, that added together give a cube (1728 = 12³).

The spelling of 168345 in words is "one hundred sixty-eight thousand, three hundred forty-five".