405101 has 8 divisors (see below), whose sum is σ = 427800. Its totient is φ = 383040.

The previous prime is 405091. The next prime is 405143. The reversal of 405101 is 101504.

405101 = T₈₈ + T₈₉ + ... + T₁₄₅.

It can be written as a sum of positive squares in 4 ways, for example, as 51076 + 354025 = 226^2 + 595^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 405101 - 2⁶ = 405037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405001) 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 7 ways as a sum of consecutive naturals, for example, 1655 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (53475).

2⁴⁰⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

405101 is a deficient number, since it is larger than the sum of its proper divisors (22699).

405101 is a wasteful number, since it uses less digits than its factorization.

405101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 405101 is about 636.4754512155. The cubic root of 405101 is about 73.9925120254.

Adding to 405101 its reverse (101504), we get a palindrome (506605).

The spelling of 405101 in words is "four hundred five thousand, one hundred one".