312769 has 4 divisors (see below), whose sum is σ = 314244. Its totient is φ = 311296.

The previous prime is 312757. The next prime is 312773. The reversal of 312769 is 967213.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 82369 = 480^2 + 287^2 .

It is a cyclic number.

It is not a de Polignac number, because 312769 - 2⁵ = 312737 is a prime.

It is a super-2 number, since 2×312769² = 195648894722, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (78561).

2³¹²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

312769 is a deficient number, since it is larger than the sum of its proper divisors (1475).

312769 is a wasteful number, since it uses less digits than its factorization.

312769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474.

The product of its digits is 2268, while the sum is 28.

The square root of 312769 is about 559.2575435343. The cubic root of 312769 is about 67.8799062529.

It can be divided in two parts, 312 and 769, that added together give a triangular number (1081 = T₄₆).

The spelling of 312769 in words is "three hundred twelve thousand, seven hundred sixty-nine".