214264801 has 2 divisors, whose sum is σ = 214264802. Its totient is φ = 214264800.

The previous prime is 214264793. The next prime is 214264819. The reversal of 214264801 is 108462412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168350625 + 45914176 = 12975^2 + 6776^2 .

It is a cyclic number.

It is not a de Polignac number, because 214264801 - 2³ = 214264793 is a prime.

It is equal to p_11823823 and since 214264801 and 11823823 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214264801.

It is not a weakly prime, because it can be changed into another prime (214264871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107132400 + 107132401.

It is an arithmetic number, because the mean of its divisors is an integer number (107132401).

Almost surely, 2^214264801 is an apocalyptic number.

It is an amenable number.

214264801 is a deficient number, since it is larger than the sum of its proper divisors (1).

214264801 is an equidigital number, since it uses as much as digits as its factorization.

214264801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 214264801 is about 14637.7867521016. The cubic root of 214264801 is about 598.3890126635.

The spelling of 214264801 in words is "two hundred fourteen million, two hundred sixty-four thousand, eight hundred one".