312906 has 24 divisors (see below), whose sum is σ = 689472. Its totient is φ = 94600.

The previous prime is 312899. The next prime is 312929. The reversal of 312906 is 609213.

312906 = T₂₃₃ + T₂₃₄ + ... + T₂₄₃.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312906.

It is an unprimeable number.

312906 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 11 ways as a sum of consecutive naturals, for example, 511 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2³¹²⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

312906 is an abundant number, since it is smaller than the sum of its proper divisors (376566).

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

312906 is a wasteful number, since it uses less digits than its factorization.

312906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 312906 is about 559.3800139440. The cubic root of 312906 is about 67.8898157918.

The spelling of 312906 in words is "three hundred twelve thousand, nine hundred six".