1830972 has 72 divisors (see below), whose sum is σ = 5109328. Its totient is φ = 506880.

The previous prime is 1830971. The next prime is 1830977. The reversal of 1830972 is 2790381.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18828 + ... + 18924.

2^1830972 is an apocalyptic number.

1830972 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 1830972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554664).

1830972 is an abundant number, since it is smaller than the sum of its proper divisors (3278356).

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

1830972 is a wasteful number, since it uses less digits than its factorization.

1830972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1830972 is about 1353.1341396920. The cubic root of 1830972 is about 122.3377722051.

It can be divided in two parts, 18309 and 72, that added together give a palindrome (18381).

The spelling of 1830972 in words is "one million, eight hundred thirty thousand, nine hundred seventy-two".