97838767 has 16 divisors (see below), whose sum is σ = 109281312. Its totient is φ = 87004800.

The previous prime is 97838749. The next prime is 97838869. The reversal of 97838767 is 76783879.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97838767 is a prime.

It is a Duffinian number.

Its product of digits (3556224) is a multiple of the sum of its prime divisors (2058).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97838707) 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, 50517 + ... + 52417.

It is an arithmetic number, because the mean of its divisors is an integer number (6830082).

Almost surely, 2^97838767 is an apocalyptic number.

97838767 is a deficient number, since it is larger than the sum of its proper divisors (11442545).

97838767 is a wasteful number, since it uses less digits than its factorization.

97838767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058.

The product of its digits is 3556224, while the sum is 55.

The square root of 97838767 is about 9891.3480881020. The cubic root of 97838767 is about 460.7906487596.

The spelling of 97838767 in words is "ninety-seven million, eight hundred thirty-eight thousand, seven hundred sixty-seven".