405107 has 4 divisors (see below), whose sum is σ = 407400. Its totient is φ = 402816.

The previous prime is 405091. The next prime is 405143. The reversal of 405107 is 701504.

It is a happy number.

405107 is nontrivially palindromic in base 7.

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

It is a cyclic number.

It is not a de Polignac number, because 405107 - 2⁴ = 405091 is a prime.

It is a super-2 number, since 2×405107² = 328223362898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405157) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 857 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (101850).

2⁴⁰⁵¹⁰⁷ is an apocalyptic number.

405107 is a deficient number, since it is larger than the sum of its proper divisors (2293).

405107 is a wasteful number, since it uses less digits than its factorization.

405107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 405107 is about 636.4801646556. The cubic root of 405107 is about 73.9928773276.

It can be divided in two parts, 405 and 107, that added together give a 9-th power (512 = 2⁹).

The spelling of 405107 in words is "four hundred five thousand, one hundred seven".