213137627 has 8 divisors (see below), whose sum is σ = 219320640. Its totient is φ = 207010440.

The previous prime is 213137597. The next prime is 213137633. The reversal of 213137627 is 726731312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213137627 - 2⁶ = 213137563 is a prime.

It is a super-2 number, since 2×213137627² = 90855296086382258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213137593 and 213137602.

It is not an unprimeable number, because it can be changed into a prime (213137027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6149 + ... + 21542.

It is an arithmetic number, because the mean of its divisors is an integer number (27415080).

Almost surely, 2^213137627 is an apocalyptic number.

213137627 is a deficient number, since it is larger than the sum of its proper divisors (6183013).

213137627 is a wasteful number, since it uses less digits than its factorization.

213137627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27913.

The product of its digits is 10584, while the sum is 32.

The square root of 213137627 is about 14599.2337812640. The cubic root of 213137627 is about 597.3378604537.

Adding to 213137627 its reverse (726731312), we get a palindrome (939868939).

The spelling of 213137627 in words is "two hundred thirteen million, one hundred thirty-seven thousand, six hundred twenty-seven".