214962 has 16 divisors (see below), whose sum is σ = 469152. Its totient is φ = 65120.

The previous prime is 214943. The next prime is 214967. The reversal of 214962 is 269412.

It is a super-2 number, since 2×214962² = 92417322888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

214962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (29322).

2²¹⁴⁹⁶² is an apocalyptic number.

214962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214962 is an abundant number, since it is smaller than the sum of its proper divisors (254190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214962 is a wasteful number, since it uses less digits than its factorization.

214962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273.

The product of its digits is 864, while the sum is 24.

The square root of 214962 is about 463.6399465102. The cubic root of 214962 is about 59.9037345208.

It can be divided in two parts, 2149 and 62, that added together give a triangular number (2211 = T₆₆).

The spelling of 214962 in words is "two hundred fourteen thousand, nine hundred sixty-two".