1971792 has 30 divisors (see below), whose sum is σ = 5518682. Its totient is φ = 657216.

The previous prime is 1971727. The next prime is 1971799. The reversal of 1971792 is 2971791.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 576 = 1404^2 + 24^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971799) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6703 + ... + 6990.

2^1971792 is an apocalyptic number.

1971792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1971792 is an abundant number, since it is smaller than the sum of its proper divisors (3546890).

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

1971792 is a wasteful number, since it uses less digits than its factorization.

1971792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13707 (or 13698 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 1971792 is about 1404.2051132224. The cubic root of 1971792 is about 125.3969673343.

Subtracting 1971792 from its reverse (2971791), we obtain a palindrome (999999).

The spelling of 1971792 in words is "one million, nine hundred seventy-one thousand, seven hundred ninety-two".