1997772 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 536832.

The previous prime is 1997771. The next prime is 1997773. The reversal of 1997772 is 2777991.

It is an interprime number because it is at equal distance from previous prime (1997771) and next prime (1997773).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1997771) 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, 729 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

2^1997772 is an apocalyptic number.

1997772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

1997772 is an abundant number, since it is smaller than the sum of its proper divisors (3647028).

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

1997772 is a wasteful number, since it uses less digits than its factorization.

1997772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1428 counting only the distinct ones).

The product of its digits is 55566, while the sum is 42.

The square root of 1997772 is about 1413.4256259174. The cubic root of 1997772 is about 125.9453025376.

The spelling of 1997772 in words is "one million, nine hundred ninety-seven thousand, seven hundred seventy-two".