157097567 has 24 divisors (see below), whose sum is σ = 189732480. Its totient is φ = 129373200.

The previous prime is 157097543. The next prime is 157097569. The reversal of 157097567 is 765790751.

It is not a de Polignac number, because 157097567 - 2¹⁸ = 156835423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157097569) 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, 51392 + ... + 54362.

It is an arithmetic number, because the mean of its divisors is an integer number (7905520).

Almost surely, 2^157097567 is an apocalyptic number.

157097567 is a deficient number, since it is larger than the sum of its proper divisors (32634913).

157097567 is a wasteful number, since it uses less digits than its factorization.

157097567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 47.

The square root of 157097567 is about 12533.8568286063. The cubic root of 157097567 is about 539.5807983436.

The spelling of 157097567 in words is "one hundred fifty-seven million, ninety-seven thousand, five hundred sixty-seven".