309114 has 24 divisors (see below), whose sum is σ = 721812. Its totient is φ = 95040.

The previous prime is 309109. The next prime is 309121. The reversal of 309114 is 411903.

309114 = T₈₂ + T₈₃ + ... + T₁₃₃.

It can be written as a sum of positive squares in 2 ways, for example, as 308025 + 1089 = 555^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309114.

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, 427 + ... + 894.

2³⁰⁹¹¹⁴ is an apocalyptic number.

309114 is an abundant number, since it is smaller than the sum of its proper divisors (412698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

309114 is a wasteful number, since it uses less digits than its factorization.

309114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 309114 is about 555.9802154753. The cubic root of 309114 is about 67.6144560193.

The spelling of 309114 in words is "three hundred nine thousand, one hundred fourteen".