214963 has 12 divisors (see below), whose sum is σ = 258552. Its totient is φ = 178080.

The previous prime is 214943. The next prime is 214967. The reversal of 214963 is 369412.

It is not a de Polignac number, because 214963 - 2⁹ = 214451 is a prime.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (1296) is a multiple of the sum of its prime factors (162).

214963 is a modest number, since divided by 963 gives 214 as remainder.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (214967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1956 + ... + 2062.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2²¹⁴⁹⁶³ is an apocalyptic number.

214963 is a deficient number, since it is larger than the sum of its proper divisors (43589).

214963 is a wasteful number, since it uses less digits than its factorization.

214963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 214963 is about 463.6410249320. The cubic root of 214963 is about 59.9038274111.

Subtracting 214963 from its reverse (369412), we obtain a square (154449 = 393²).

The spelling of 214963 in words is "two hundred fourteen thousand, nine hundred sixty-three".