213792117 has 24 divisors (see below), whose sum is σ = 358091328. Its totient is φ = 111059520.

The previous prime is 213792113. The next prime is 213792127. The reversal of 213792117 is 711297312.

It is not a de Polignac number, because 213792117 - 2² = 213792113 is a prime.

It is a super-3 number, since 3×213792117³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213792113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39528 + ... + 44609.

It is an arithmetic number, because the mean of its divisors is an integer number (14920472).

Almost surely, 2^213792117 is an apocalyptic number.

It is an amenable number.

213792117 is a deficient number, since it is larger than the sum of its proper divisors (144299211).

213792117 is a wasteful number, since it uses less digits than its factorization.

213792117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84169 (or 84158 counting only the distinct ones).

The product of its digits is 5292, while the sum is 33.

The square root of 213792117 is about 14621.6318172768. The cubic root of 213792117 is about 597.9486585453.

The spelling of 213792117 in words is "two hundred thirteen million, seven hundred ninety-two thousand, one hundred seventeen".