213456401 has 2 divisors, whose sum is σ = 213456402. Its totient is φ = 213456400.

The previous prime is 213456379. The next prime is 213456413. The reversal of 213456401 is 104654312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118374400 + 95082001 = 10880^2 + 9751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213456401 is a prime.

It is not a weakly prime, because it can be changed into another prime (213456461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106728200 + 106728201.

It is an arithmetic number, because the mean of its divisors is an integer number (106728201).

Almost surely, 2^213456401 is an apocalyptic number.

It is an amenable number.

213456401 is a deficient number, since it is larger than the sum of its proper divisors (1).

213456401 is an equidigital number, since it uses as much as digits as its factorization.

213456401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 213456401 is about 14610.1471929615. The cubic root of 213456401 is about 597.6355099590.

The spelling of 213456401 in words is "two hundred thirteen million, four hundred fifty-six thousand, four hundred one".