1992312 has 96 divisors (see below), whose sum is σ = 6364800. Its totient is φ = 551232.

The previous prime is 1992307. The next prime is 1992337. The reversal of 1992312 is 2132991.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29703 + ... + 29769.

It is an arithmetic number, because the mean of its divisors is an integer number (66300).

2^1992312 is an apocalyptic number.

1992312 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 1992312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182400).

1992312 is an abundant number, since it is smaller than the sum of its proper divisors (4372488).

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

1992312 is a wasteful number, since it uses less digits than its factorization.

1992312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1992312 is about 1411.4928267618. The cubic root of 1992312 is about 125.8304598070.

It can be divided in two parts, 1992 and 312, that added together give a square (2304 = 48²).

The spelling of 1992312 in words is "one million, nine hundred ninety-two thousand, three hundred twelve".