314976 has 48 divisors (see below), whose sum is σ = 879984. Its totient is φ = 98304.

The previous prime is 314957. The next prime is 314983. The reversal of 314976 is 679413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

314976 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 7 ways as a sum of consecutive naturals, for example, 1536 + ... + 1728.

It is an arithmetic number, because the mean of its divisors is an integer number (18333).

314976 is a Friedman number, since it can be written as 16*(7-4+3^9), using all its digits and the basic arithmetic operations.

2³¹⁴⁹⁷⁶ 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 314976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439992).

314976 is an abundant number, since it is smaller than the sum of its proper divisors (565008).

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

314976 is a wasteful number, since it uses less digits than its factorization.

314976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 314976 is about 561.2272267095. The cubic root of 314976 is about 68.0391930923.

The spelling of 314976 in words is "three hundred fourteen thousand, nine hundred seventy-six".