157817413 has 8 divisors (see below), whose sum is σ = 170088408. Its totient is φ = 145565184.

The previous prime is 157817383. The next prime is 157817423. The reversal of 157817413 is 314718751.

It can be written as a sum of positive squares in 4 ways, for example, as 24137569 + 133679844 = 4913^2 + 11562^2 .

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 157817413 - 2²⁵ = 124262981 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 (157817423) 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, 16281 + ... + 24097.

It is an arithmetic number, because the mean of its divisors is an integer number (21261051).

Almost surely, 2^157817413 is an apocalyptic number.

157817413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157817413 is a deficient number, since it is larger than the sum of its proper divisors (12270995).

157817413 is a wasteful number, since it uses less digits than its factorization.

157817413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383.

The product of its digits is 23520, while the sum is 37.

The square root of 157817413 is about 12562.5400695878. The cubic root of 157817413 is about 540.4036910477.

The spelling of 157817413 in words is "one hundred fifty-seven million, eight hundred seventeen thousand, four hundred thirteen".