20137627 has 8 divisors (see below), whose sum is σ = 21060000. Its totient is φ = 19219200.

The previous prime is 20137619. The next prime is 20137651. The reversal of 20137627 is 72673102.

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 20137627 - 2³ = 20137619 is a prime.

It is a super-2 number, since 2×20137627² = 811048042382258, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 20137595 and 20137604.

It is not an unprimeable number, because it can be changed into a prime (20137697) 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 7 ways as a sum of consecutive naturals, for example, 15499 + ... + 16747.

It is an arithmetic number, because the mean of its divisors is an integer number (2632500).

Almost surely, 2^20137627 is an apocalyptic number.

20137627 is a deficient number, since it is larger than the sum of its proper divisors (922373).

20137627 is a wasteful number, since it uses less digits than its factorization.

20137627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 20137627 is about 4487.4967409459. The cubic root of 20137627 is about 272.0629675082.

The spelling of 20137627 in words is "twenty million, one hundred thirty-seven thousand, six hundred twenty-seven".