314961 has 4 divisors (see below), whose sum is σ = 419952. Its totient is φ = 209972.

The previous prime is 314957. The next prime is 314983. The reversal of 314961 is 169413.

314961 = T₁₇₈ + T₁₇₉ + ... + T₁₉₅.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 314961 - 2² = 314957 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (314161) 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, 52491 + ... + 52496.

It is an arithmetic number, because the mean of its divisors is an integer number (104988).

2³¹⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

314961 is a deficient number, since it is larger than the sum of its proper divisors (104991).

314961 is a wasteful number, since it uses less digits than its factorization.

314961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104990.

The product of its digits is 648, while the sum is 24.

The square root of 314961 is about 561.2138629792. The cubic root of 314961 is about 68.0381130056.

It can be divided in two parts, 314 and 961, that added together give a triangular number (1275 = T₅₀).

The spelling of 314961 in words is "three hundred fourteen thousand, nine hundred sixty-one".