7146 has 12 divisors (see below), whose sum is σ = 15522. Its totient is φ = 2376.

The previous prime is 7129. The next prime is 7151. The reversal of 7146 is 6417.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 1521 = 75^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 397 = 7146 / (7 + 1 + 4 + 6).

It is a Curzon number.

It is a plaindrome in base 13.

It is an unprimeable number.

7146 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 5 ways as a sum of consecutive naturals, for example, 181 + ... + 216.

2⁷¹⁴⁶ is an apocalyptic number.

7146 is an abundant number, since it is smaller than the sum of its proper divisors (8376).

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

7146 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 7146 = (4176)₁₂.

7146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 402 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 7146 is about 84.5340168216. The cubic root of 7146 is about 19.2613920313.

Subtracting from 7146 its reverse (6417), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 7 and 146, that added together give a triangular number (153 = T₁₇).

The spelling of 7146 in words is "seven thousand, one hundred forty-six".