312052 has 24 divisors (see below), whose sum is σ = 624456. Its totient is φ = 135168.

The previous prime is 312047. The next prime is 312071. The reversal of 312052 is 250213.

312052 = T₃₉₃ + T₃₉₄ + ... + T₃₉₆.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 285156 = 164^2 + 534^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (26019).

2³¹²⁰⁵² is an apocalyptic number.

It is an amenable number.

312052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

312052 is a wasteful number, since it uses less digits than its factorization.

312052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 312052 is about 558.6161472783. The cubic root of 312052 is about 67.8279966637.

Adding to 312052 its reverse (250213), we get a palindrome (562265).

The spelling of 312052 in words is "three hundred twelve thousand, fifty-two".