45405 has 12 divisors (see below), whose sum is σ = 78780. Its totient is φ = 24192.

The previous prime is 45403. The next prime is 45413. The reversal of 45405 is 50454.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 30276 = 123^2 + 174^2 .

It is not a de Polignac number, because 45405 - 2¹ = 45403 is a prime.

It is a super-2 number, since 2×45405² = 4123228050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

45405 is a modest number, since divided by 405 gives 45 as remainder.

It is a plaindrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (6565).

2⁴⁵⁴⁰⁵ is an apocalyptic number.

45405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45405 is a deficient number, since it is larger than the sum of its proper divisors (33375).

45405 is a wasteful number, since it uses less digits than its factorization.

45405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45405 is about 213.0844902850. The cubic root of 45405 is about 35.6753213147.

Adding to 45405 its reverse (50454), we get a palindrome (95859).

It can be divided in two parts, 45 and 405, that multiplied together give a square (18225 = 135²).

The spelling of 45405 in words is "forty-five thousand, four hundred five".