1012 has 12 divisors (see below), whose sum is σ = 2016. Its totient is φ = 440.

The previous prime is 1009. The next prime is 1013. The reversal of 1012 is 2101.

1012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 4 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 992 and 1010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 55.

It is an arithmetic number, because the mean of its divisors is an integer number (168).

It is an amenable number.

1012 is a deficient number, since it is larger than the sum of its proper divisors (1004).

1012 is a wasteful number, since it uses less digits than its factorization.

1012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1012 is about 31.8119474412. The cubic root of 1012 is about 10.0398410582.

Adding to 1012 its reverse (2101), we get a palindrome (3113).

Subtracting 1012 from its reverse (2101), we obtain a square (1089 = 33²).

Multiplying 1012 by its reverse (2101), we get a palindrome (2126212).

It can be divided in two parts, 101 and 2, that multiplied together give a palindrome (202).

The spelling of 1012 in words is "one thousand, twelve", and thus it is an iban number.