306963 has 8 divisors (see below), whose sum is σ = 454800. Its totient is φ = 204624.

The previous prime is 306953. The next prime is 306991. The reversal of 306963 is 369603.

It is not a de Polignac number, because 306963 - 2⁴ = 306947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11369 = 306963 / (3 + 0 + 6 + 9 + 6 + 3).

It is not an unprimeable number, because it can be changed into a prime (306913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5658 + ... + 5711.

It is an arithmetic number, because the mean of its divisors is an integer number (56850).

2³⁰⁶⁹⁶³ is an apocalyptic number.

306963 is a deficient number, since it is larger than the sum of its proper divisors (147837).

306963 is a wasteful number, since it uses less digits than its factorization.

306963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 306963 is about 554.0424171487. The cubic root of 306963 is about 67.4572568901.

Subtracting from 306963 its sum of digits (27), we obtain a triangular number (306936 = T₇₈₃).

The spelling of 306963 in words is "three hundred six thousand, nine hundred sixty-three".