431993 has 2 divisors, whose sum is σ = 431994. Its totient is φ = 431992.

The previous prime is 431983. The next prime is 432001. The reversal of 431993 is 399134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 6889 = 652^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 431993 - 2⁶ = 431929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (431903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215996 + 215997.

It is an arithmetic number, because the mean of its divisors is an integer number (215997).

2⁴³¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

431993 is a deficient number, since it is larger than the sum of its proper divisors (1).

431993 is an equidigital number, since it uses as much as digits as its factorization.

431993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 29.

The square root of 431993 is about 657.2617439042. The cubic root of 431993 is about 75.5948546837.

The spelling of 431993 in words is "four hundred thirty-one thousand, nine hundred ninety-three".