35214 has 8 divisors (see below), whose sum is σ = 70440. Its totient is φ = 11736.

The previous prime is 35201. The next prime is 35221. The reversal of 35214 is 41253.

35214 = 12² + 13² + ... + 47².

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

35214 is an admirable number.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35193 and 35202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2929 + ... + 2940.

It is an arithmetic number, because the mean of its divisors is an integer number (8805).

2³⁵²¹⁴ is an apocalyptic number.

35214 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 (35220).

35214 is a wasteful number, since it uses less digits than its factorization.

35214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874.

The product of its digits is 120, while the sum is 15.

The square root of 35214 is about 187.6539368092. The cubic root of 35214 is about 32.7771951337. Note that the first 3 decimals are identical.

Adding to 35214 its reverse (41253), we get a palindrome (76467).

The spelling of 35214 in words is "thirty-five thousand, two hundred fourteen".