431289 has 12 divisors (see below), whose sum is σ = 628836. Its totient is φ = 284832.

The previous prime is 431287. The next prime is 431297. The reversal of 431289 is 982134.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 189225 = 492^2 + 435^2 .

It is not a de Polignac number, because 431289 - 2¹ = 431287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (52403).

2⁴³¹²⁸⁹ is an apocalyptic number.

It is an amenable number.

431289 is a deficient number, since it is larger than the sum of its proper divisors (197547).

431289 is a wasteful number, since it uses less digits than its factorization.

431289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 431289 is about 656.7259702494. The cubic root of 431289 is about 75.5537678194.

The spelling of 431289 in words is "four hundred thirty-one thousand, two hundred eighty-nine".