829172493 has 12 divisors (see below), whose sum is σ = 1197954940. Its totient is φ = 552661056.

The previous prime is 829172473. The next prime is 829172497. The reversal of 829172493 is 394271928.

829172493 is a `hidden beast` number, since 8 + 2 + 91 + 72 + 493 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403286724 + 425885769 = 20082^2 + 20637^2 .

It is not a de Polignac number, because 829172493 - 2⁶ = 829172429 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 (829172497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57105 + ... + 70137.

Almost surely, 2^829172493 is an apocalyptic number.

It is an amenable number.

829172493 is a deficient number, since it is larger than the sum of its proper divisors (368782447).

829172493 is a wasteful number, since it uses less digits than its factorization.

829172493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20108 (or 20105 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 829172493 is about 28795.3554067318. The cubic root of 829172493 is about 939.4672146769.

The spelling of 829172493 in words is "eight hundred twenty-nine million, one hundred seventy-two thousand, four hundred ninety-three".