45034 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 19360.

The previous prime is 45013. The next prime is 45053. The reversal of 45034 is 43054.

It is a super-2 number, since 2×45034² = 4056122312, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 44999 and 45017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁴⁵⁰³⁴ is an apocalyptic number.

45034 is a deficient number, since it is larger than the sum of its proper divisors (32726).

45034 is a wasteful number, since it uses less digits than its factorization.

45034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45034 is about 212.2121579929. The cubic root of 45034 is about 35.5778888914.

Adding to 45034 its reverse (43054), we get a palindrome (88088).

It can be divided in two parts, 450 and 34, that added together give a palindrome (484).

The spelling of 45034 in words is "forty-five thousand, thirty-four".