993132 has 54 divisors (see below), whose sum is σ = 2925468. Its totient is φ = 283248.

The previous prime is 993121. The next prime is 993137. The reversal of 993132 is 231399.

It is a super-2 number, since 2×993132² = 1972622338848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 993096 and 993105.

It is not an unprimeable number, because it can be changed into a prime (993137) by changing a digit.

993132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1483 + ... + 2045.

2⁹⁹³¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462734).

993132 is an abundant number, since it is smaller than the sum of its proper divisors (1932336).

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

993132 is a wasteful number, since it uses less digits than its factorization.

993132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 993132 is about 996.5600834872. The cubic root of 993132 is about 99.7705405530.

The spelling of 993132 in words is "nine hundred ninety-three thousand, one hundred thirty-two".