306705 has 32 divisors (see below), whose sum is σ = 589824. Its totient is φ = 133056.

The previous prime is 306703. The next prime is 306707. The reversal of 306705 is 507603.

It is an interprime number because it is at equal distance from previous prime (306703) and next prime (306707).

It is not a de Polignac number, because 306705 - 2¹ = 306703 is a prime.

It is a super-3 number, since 3×306705³ = 86553338278057875, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (306701) 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, 2352 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (18432).

2³⁰⁶⁷⁰⁵ is an apocalyptic number.

306705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

306705 is a deficient number, since it is larger than the sum of its proper divisors (283119).

306705 is a wasteful number, since it uses less digits than its factorization.

306705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 306705 is about 553.8095340458. The cubic root of 306705 is about 67.4383524938.

The spelling of 306705 in words is "three hundred six thousand, seven hundred five".