213797409 has 32 divisors (see below), whose sum is σ = 332666880. Its totient is φ = 119619072.

The previous prime is 213797399. The next prime is 213797413. The reversal of 213797409 is 904797312.

It is not a de Polignac number, because 213797409 - 2⁷ = 213797281 is a prime.

It is a super-2 number, since 2×213797409² = 91418664190226562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213793409) 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 in 31 ways as a sum of consecutive naturals, for example, 209302 + ... + 210320.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2^213797409 is an apocalyptic number.

It is an amenable number.

213797409 is a deficient number, since it is larger than the sum of its proper divisors (118869471).

213797409 is a wasteful number, since it uses less digits than its factorization.

213797409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 213797409 is about 14621.8127809106. The cubic root of 213797409 is about 597.9535921824.

The spelling of 213797409 in words is "two hundred thirteen million, seven hundred ninety-seven thousand, four hundred nine".