413151 has 8 divisors (see below), whose sum is σ = 583344. Its totient is φ = 259200.

The previous prime is 413143. The next prime is 413159. The reversal of 413151 is 151314.

413151 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (413143) and next prime (413159).

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

It is not a de Polignac number, because 413151 - 2³ = 413143 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 413151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4000 + ... + 4101.

It is an arithmetic number, because the mean of its divisors is an integer number (72918).

2⁴¹³¹⁵¹ is an apocalyptic number.

413151 is a deficient number, since it is larger than the sum of its proper divisors (170193).

413151 is a wasteful number, since it uses less digits than its factorization.

413151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121.

The product of its digits is 60, while the sum is 15.

The square root of 413151 is about 642.7682319468. The cubic root of 413151 is about 74.4794171627.

Adding to 413151 its reverse (151314), we get a palindrome (564465).

It can be divided in two parts, 4131 and 51, that multiplied together give a square (210681 = 459²).

The spelling of 413151 in words is "four hundred thirteen thousand, one hundred fifty-one".