1071 has 12 divisors (see below), whose sum is σ = 1872. Its totient is φ = 576.

The previous prime is 1069. The next prime is 1087. The reversal of 1071 is 1701.

1071 = 6³ + 7³ + 8³.

1071 is an esthetic number in base 6 and base 14, because in such bases its adjacent digits differ by 1.

It is not a de Polignac number, because 1071 - 2¹ = 1069 is a prime.

It is a super-2 number, since 2×1071² = 2294082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (156).

1071 is the 21-st heptagonal number.

1071 is a deficient number, since it is larger than the sum of its proper divisors (801).

1071 is a wasteful number, since it uses less digits than its factorization.

1071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1071 is about 32.7261363439. The cubic root of 1071 is about 10.2312765468.

Adding to 1071 its reverse (1701), we get a palindrome (2772).

Subtracting 1071 from its reverse (1701), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 10 and 71, that added together give a 4-th power (81 = 3⁴).

The spelling of 1071 in words is "one thousand, seventy-one", and thus it is an iban number.