1791966 has 32 divisors (see below), whose sum is σ = 4118400. Its totient is φ = 514080.

The previous prime is 1791961. The next prime is 1791967. The reversal of 1791966 is 6691971.

It is a super-2 number, since 2×1791966² = 6422284290312, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791961) 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, 540 + ... + 1968.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

2^1791966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1791966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059200).

1791966 is an abundant number, since it is smaller than the sum of its proper divisors (2326434).

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

1791966 is a wasteful number, since it uses less digits than its factorization.

1791966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464.

The product of its digits is 20412, while the sum is 39.

The square root of 1791966 is about 1338.6433430903. The cubic root of 1791966 is about 121.4627906855.

It can be divided in two parts, 179 and 1966, that added together give a triangular number (2145 = T₆₅).

The spelling of 1791966 in words is "one million, seven hundred ninety-one thousand, nine hundred sixty-six".