41214 has 8 divisors (see below), whose sum is σ = 82440. Its totient is φ = 13736.

The previous prime is 41213. The next prime is 41221.

41214 = 100² + 101² + ... + 103².

41214 is nontrivially palindromic in base 10.

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

41214 is an admirable number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213) 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, 3429 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (10305).

2⁴¹²¹⁴ is an apocalyptic number.

41214 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41220).

41214 is a wasteful number, since it uses less digits than its factorization.

41214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874.

The product of its digits is 32, while the sum is 12.

The square root of 41214 is about 203.0123148974. The cubic root of 41214 is about 34.5420616999.

The spelling of 41214 in words is "forty-one thousand, two hundred fourteen", and thus it is an iban number.