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1992 = 23383
BaseRepresentation
bin11111001000
32201210
4133020
530432
613120
75544
oct3710
92653
101992
111551
1211a0
13ba3
14a24
158cc
hex7c8

1992 has 16 divisors (see below), whose sum is σ = 5040. Its totient is φ = 656.

The previous prime is 1987. The next prime is 1993. The reversal of 1992 is 2991.

Subtracting from 1992 its product of digits (162), we obtain a triangular number (1830 = T60).

Subtracting 1992 from its reverse (2991), we obtain a palindrome (999).

It can be divided in two parts, 19 and 92, that added together give a palindrome (111).

It is a happy number.

1992 is nontrivially palindromic in base 11.

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 13.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1993) by changing a digit.

1992 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 3 ways as a sum of consecutive naturals, for example, 18 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

21992 is an apocalyptic number.

1992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1992 is an abundant number, since it is smaller than the sum of its proper divisors (3048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

1992 is a wasteful number, since it uses less digits than its factorization.

1992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

The square root of 1992 is about 44.6318272088. The cubic root of 1992 is about 12.5823891031.

The spelling of 1992 in words is "one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992