213413827 has 16 divisors (see below), whose sum is σ = 243938304. Its totient is φ = 184932000.

The previous prime is 213413791. The next prime is 213413857. The reversal of 213413827 is 728314312.

It is not a de Polignac number, because 213413827 - 2¹⁹ = 212889539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213413857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18177 + ... + 27517.

It is an arithmetic number, because the mean of its divisors is an integer number (15246144).

Almost surely, 2^213413827 is an apocalyptic number.

213413827 is a deficient number, since it is larger than the sum of its proper divisors (30524477).

213413827 is a wasteful number, since it uses less digits than its factorization.

213413827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450.

The product of its digits is 8064, while the sum is 31.

The square root of 213413827 is about 14608.6901192407. The cubic root of 213413827 is about 597.5957744036.

The spelling of 213413827 in words is "two hundred thirteen million, four hundred thirteen thousand, eight hundred twenty-seven".