309141 has 18 divisors (see below), whose sum is σ = 520182. Its totient is φ = 176400.

The previous prime is 309137. The next prime is 309157. The reversal of 309141 is 141903.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 11025 = 546^2 + 105^2 .

It is not a de Polignac number, because 309141 - 2² = 309137 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

309141 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309141.

It is not an unprimeable number, because it can be changed into a prime (309121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (28899).

2³⁰⁹¹⁴¹ is an apocalyptic number.

It is an amenable number.

309141 is a deficient number, since it is larger than the sum of its proper divisors (211041).

309141 is a wasteful number, since it uses less digits than its factorization.

309141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

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

The square root of 309141 is about 556.0044963847. The cubic root of 309141 is about 67.6164245888.

The spelling of 309141 in words is "three hundred nine thousand, one hundred forty-one".