431953 has 4 divisors (see below), whose sum is σ = 457380. Its totient is φ = 406528.

The previous prime is 431947. The next prime is 431983. The reversal of 431953 is 359134.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 173889 + 258064 = 417^2 + 508^2 .

It is a cyclic number.

It is not a de Polignac number, because 431953 - 2⁹ = 431441 is a prime.

It is a Duffinian number.

431953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (431903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12688 + ... + 12721.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

2⁴³¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

431953 is a deficient number, since it is larger than the sum of its proper divisors (25427).

431953 is a wasteful number, since it uses less digits than its factorization.

431953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25426.

The product of its digits is 1620, while the sum is 25.

The square root of 431953 is about 657.2313139223. The cubic root of 431953 is about 75.5925213994.

The spelling of 431953 in words is "four hundred thirty-one thousand, nine hundred fifty-three".