832993137 has 12 divisors (see below), whose sum is σ = 1203570420. Its totient is φ = 555163488.

The previous prime is 832993121. The next prime is 832993159. The reversal of 832993137 is 731399238.

832993137 is a `hidden beast` number, since 8 + 329 + 9 + 313 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 280931121 + 552062016 = 16761^2 + 23496^2 .

It is not a de Polignac number, because 832993137 - 2⁴ = 832993121 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 832993092 and 832993101.

It is not an unprimeable number, because it can be changed into a prime (832993177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23439 + ... + 47067.

It is an arithmetic number, because the mean of its divisors is an integer number (100297535).

Almost surely, 2^832993137 is an apocalyptic number.

It is an amenable number.

832993137 is a deficient number, since it is larger than the sum of its proper divisors (370577283).

832993137 is a wasteful number, since it uses less digits than its factorization.

832993137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27552 (or 27549 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 832993137 is about 28861.6204846505. The cubic root of 832993137 is about 940.9079566489.

It can be divided in two parts, 83299 and 3137, that added together give a square (86436 = 294²).

The spelling of 832993137 in words is "eight hundred thirty-two million, nine hundred ninety-three thousand, one hundred thirty-seven".