213407827 has 2 divisors, whose sum is σ = 213407828. Its totient is φ = 213407826.

The previous prime is 213407809. The next prime is 213407833. The reversal of 213407827 is 728704312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213407827 - 2¹⁵ = 213375059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213407792 and 213407801.

It is not a weakly prime, because it can be changed into another prime (213407807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106703913 + 106703914.

It is an arithmetic number, because the mean of its divisors is an integer number (106703914).

Almost surely, 2^213407827 is an apocalyptic number.

213407827 is a deficient number, since it is larger than the sum of its proper divisors (1).

213407827 is an equidigital number, since it uses as much as digits as its factorization.

213407827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 213407827 is about 14608.4847605766. The cubic root of 213407827 is about 597.5901740038.

The spelling of 213407827 in words is "two hundred thirteen million, four hundred seven thousand, eight hundred twenty-seven".