214964 has 12 divisors (see below), whose sum is σ = 382788. Its totient is φ = 105600.

The previous prime is 214943. The next prime is 214967. The reversal of 214964 is 469412.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 195364 = 140^2 + 442^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214967) 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, 197 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2²¹⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

214964 is a deficient number, since it is larger than the sum of its proper divisors (167824).

214964 is a wasteful number, since it uses less digits than its factorization.

214964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 214964 is about 463.6421033513. The cubic root of 214964 is about 59.9039203011.

The spelling of 214964 in words is "two hundred fourteen thousand, nine hundred sixty-four".