34431 has 8 divisors (see below), whose sum is σ = 48000. Its totient is φ = 21912.

The previous prime is 34429. The next prime is 34439. The reversal of 34431 is 13443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34431 - 2¹ = 34429 is a prime.

It is a super-2 number, since 2×34431² = 2370987522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34431.

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 34431.

It is not an unprimeable number, because it can be changed into a prime (34439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2³⁴⁴³¹ is an apocalyptic number.

34431 is a deficient number, since it is larger than the sum of its proper divisors (13569).

34431 is a wasteful number, since it uses less digits than its factorization.

34431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525.

The product of its digits is 144, while the sum is 15.

The square root of 34431 is about 185.5559214900. Note that the first 3 decimals coincide. The cubic root of 34431 is about 32.5324331061.

Adding to 34431 its reverse (13443), we get a palindrome (47874).

It can be divided in two parts, 34 and 431, that added together give a triangular number (465 = T₃₀).

The spelling of 34431 in words is "thirty-four thousand, four hundred thirty-one".