213963 has 8 divisors (see below), whose sum is σ = 289488. Its totient is φ = 140544.

The previous prime is 213953. The next prime is 213973. The reversal of 213963 is 369312.

It is an interprime number because it is at equal distance from previous prime (213953) and next prime (213973).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213963 - 2⁴ = 213947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213943) 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, 270 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (36186).

2²¹³⁹⁶³ is an apocalyptic number.

213963 is a deficient number, since it is larger than the sum of its proper divisors (75525).

213963 is an equidigital number, since it uses as much as digits as its factorization.

213963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053.

The product of its digits is 972, while the sum is 24.

The square root of 213963 is about 462.5613472827. The cubic root of 213963 is about 59.8107928604.

It can be divided in two parts, 213 and 963, that added together give a triangular number (1176 = T₄₈).

The spelling of 213963 in words is "two hundred thirteen thousand, nine hundred sixty-three".