40034 has 8 divisors (see below), whose sum is σ = 61788. Its totient is φ = 19440.

The previous prime is 40031. The next prime is 40037. The reversal of 40034 is 43004.

40034 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (40031) and next prime (40037).

It can be written as a sum of positive squares in 2 ways, for example, as 38809 + 1225 = 197^2 + 35^2 .

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 39997 and 40024.

It is not an unprimeable number, because it can be changed into a prime (40031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 344.

2⁴⁰⁰³⁴ is an apocalyptic number.

40034 is a deficient number, since it is larger than the sum of its proper divisors (21754).

40034 is a wasteful number, since it uses less digits than its factorization.

40034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40034 is about 200.0849819452. The cubic root of 40034 is about 34.2092060531.

Adding to 40034 its reverse (43004), we get a palindrome (83038).

It can be divided in two parts, 400 and 34, that added together give a palindrome (434).

The spelling of 40034 in words is "forty thousand, thirty-four", and thus it is an eban number.