413142737 has 16 divisors (see below), whose sum is σ = 484227072. Its totient is φ = 345138000.

The previous prime is 413142731. The next prime is 413142739. The reversal of 413142737 is 737241314.

It is a cyclic number.

It is not a de Polignac number, because 413142737 - 2¹⁸ = 412880593 is a prime.

It is a super-2 number, since 2×413142737² = 341373842271702338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413142731) 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 15 ways as a sum of consecutive naturals, for example, 80078 + ... + 85080.

It is an arithmetic number, because the mean of its divisors is an integer number (30264192).

Almost surely, 2^413142737 is an apocalyptic number.

413142737 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

413142737 is a deficient number, since it is larger than the sum of its proper divisors (71084335).

413142737 is a wasteful number, since it uses less digits than its factorization.

413142737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308.

The product of its digits is 14112, while the sum is 32.

The square root of 413142737 is about 20325.9129438262. The cubic root of 413142737 is about 744.7892063117.

The spelling of 413142737 in words is "four hundred thirteen million, one hundred forty-two thousand, seven hundred thirty-seven".