97201627 has 16 divisors (see below), whose sum is σ = 102304512. Its totient is φ = 92262240.

The previous prime is 97201603. The next prime is 97201633. The reversal of 97201627 is 72610279.

It is a cyclic number.

It is not a de Polignac number, because 97201627 - 2¹¹ = 97199579 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97201592 and 97201601.

It is not an unprimeable number, because it can be changed into a prime (97201327) 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 15 ways as a sum of consecutive naturals, for example, 428088 + ... + 428314.

It is an arithmetic number, because the mean of its divisors is an integer number (6394032).

Almost surely, 2^97201627 is an apocalyptic number.

97201627 is a deficient number, since it is larger than the sum of its proper divisors (5102885).

97201627 is a wasteful number, since it uses less digits than its factorization.

97201627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 97201627 is about 9859.0885481367. The cubic root of 97201627 is about 459.7882248240.

The spelling of 97201627 in words is "ninety-seven million, two hundred one thousand, six hundred twenty-seven".