1997829792 has 96 divisors (see below), whose sum is σ = 6659452800. Its totient is φ = 570806784.

The previous prime is 1997829791. The next prime is 1997829863. The reversal of 1997829792 is 2979287991.

1997829792 is a `hidden beast` number, since 199 + 78 + 297 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1997829791) 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, 159117 + ... + 171212.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^1997829792 is an apocalyptic number.

1997829792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1997829792 is an abundant number, since it is smaller than the sum of its proper divisors (4661623008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1997829792 is a wasteful number, since it uses less digits than its factorization.

1997829792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330355 (or 330341 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 63.

The square root of 1997829792 is about 44697.0893012062. The cubic root of 1997829792 is about 1259.4651698390.

It can be divided in two parts, 19978 and 29792, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1997829792 in words is "one billion, nine hundred ninety-seven million, eight hundred twenty-nine thousand, seven hundred ninety-two".