2131792 has 40 divisors (see below), whose sum is σ = 4584776. Its totient is φ = 953856.

The previous prime is 2131771. The next prime is 2131793. The reversal of 2131792 is 2971312.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 2005056 = 356^2 + 1416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7558 + ... + 7834.

2^2131792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292388).

2131792 is an abundant number, since it is smaller than the sum of its proper divisors (2452984).

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

2131792 is a wasteful number, since it uses less digits than its factorization.

2131792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 2131792 is about 1460.0657519441. The cubic root of 2131792 is about 128.7009075410.

It can be divided in two parts, 21 and 31792, that added together give a palindrome (31813).

The spelling of 2131792 in words is "two million, one hundred thirty-one thousand, seven hundred ninety-two".