214792 has 8 divisors (see below), whose sum is σ = 402750. Its totient is φ = 107392.

The previous prime is 214789. The next prime is 214807. The reversal of 214792 is 297412.

It can be written as a sum of positive squares in only one way, i.e., 198916 + 15876 = 446^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×214792² = 92271206528, which contains 22 as substring.

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 as a sum of consecutive naturals, namely, 13417 + ... + 13432.

2²¹⁴⁷⁹² is an apocalyptic number.

It is an amenable number.

214792 is a deficient number, since it is larger than the sum of its proper divisors (187958).

214792 is a wasteful number, since it uses less digits than its factorization.

214792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26855 (or 26851 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 214792 is about 463.4565783329. The cubic root of 214792 is about 59.8879389839.

It can be divided in two parts, 2 and 14792, that multiplied together give a square (29584 = 172²).

The spelling of 214792 in words is "two hundred fourteen thousand, seven hundred ninety-two".