413157 has 8 divisors (see below), whose sum is σ = 564480. Its totient is φ = 268640.

The previous prime is 413143. The next prime is 413159. The reversal of 413157 is 751314.

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 413157 - 2⁴ = 413141 is a prime.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1557 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2⁴¹³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

413157 is a deficient number, since it is larger than the sum of its proper divisors (151323).

413157 is a wasteful number, since it uses less digits than its factorization.

413157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403.

The product of its digits is 420, while the sum is 21.

The square root of 413157 is about 642.7728992420. The cubic root of 413157 is about 74.4797777043.

The spelling of 413157 in words is "four hundred thirteen thousand, one hundred fifty-seven".