276312 has 32 divisors (see below), whose sum is σ = 716400. Its totient is φ = 88704.

The previous prime is 276293. The next prime is 276319. The reversal of 276312 is 213672.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 894.

2²⁷⁶³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358200).

276312 is an abundant number, since it is smaller than the sum of its proper divisors (440088).

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

276312 is a wasteful number, since it uses less digits than its factorization.

276312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 276312 is about 525.6538785170. The cubic root of 276312 is about 65.1328250391.

Adding to 276312 its reverse (213672), we get a palindrome (489984).

It can be divided in two parts, 2763 and 12, that added together give a triangular number (2775 = T₇₄).

The spelling of 276312 in words is "two hundred seventy-six thousand, three hundred twelve".