1461132 has 48 divisors (see below), whose sum is σ = 3857280. Its totient is φ = 478224.

The previous prime is 1461127. The next prime is 1461139. The reversal of 1461132 is 2311641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1461139) 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, 8883 + ... + 9045.

It is an arithmetic number, because the mean of its divisors is an integer number (80360).

2^1461132 is an apocalyptic number.

1461132 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 1461132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928640).

1461132 is an abundant number, since it is smaller than the sum of its proper divisors (2396148).

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

1461132 is a wasteful number, since it uses less digits than its factorization.

1461132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1461132 is about 1208.7729315302. The cubic root of 1461132 is about 113.4740313324.

Adding to 1461132 its reverse (2311641), we get a palindrome (3772773).

The spelling of 1461132 in words is "one million, four hundred sixty-one thousand, one hundred thirty-two".