827429113 has 16 divisors (see below), whose sum is σ = 977668864. Its totient is φ = 685454400.

The previous prime is 827429107. The next prime is 827429123. The reversal of 827429113 is 311924728.

It is a cyclic number.

It is not a de Polignac number, because 827429113 - 2²⁹ = 290558201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827429123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28531 + ... + 49687.

It is an arithmetic number, because the mean of its divisors is an integer number (61104304).

Almost surely, 2^827429113 is an apocalyptic number.

It is an amenable number.

827429113 is a deficient number, since it is larger than the sum of its proper divisors (150239751).

827429113 is a wasteful number, since it uses less digits than its factorization.

827429113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352.

The product of its digits is 24192, while the sum is 37.

The square root of 827429113 is about 28765.0675820517. The cubic root of 827429113 is about 938.8083258057.

The spelling of 827429113 in words is "eight hundred twenty-seven million, four hundred twenty-nine thousand, one hundred thirteen".