314972 has 18 divisors (see below), whose sum is σ = 641592. Its totient is φ = 134904.

The previous prime is 314957. The next prime is 314983. The reversal of 314972 is 279413.

314972 = T₈₈ + T₈₉ + ... + T₁₃₆.

It is a congruent number.

It is an unprimeable number.

314972 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 5 ways as a sum of consecutive naturals, for example, 608 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (35644).

2³¹⁴⁹⁷² is an apocalyptic number.

It is an amenable number.

314972 is an abundant number, since it is smaller than the sum of its proper divisors (326620).

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

314972 is a wasteful number, since it uses less digits than its factorization.

314972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 314972 is about 561.2236630792. The cubic root of 314972 is about 68.0389050725.

The spelling of 314972 in words is "three hundred fourteen thousand, nine hundred seventy-two".