157997593 has 6 divisors (see below), whose sum is σ = 171086334. Its totient is φ = 145843776.

The previous prime is 157997569. The next prime is 157997627. The reversal of 157997593 is 395799751.

157997593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 444889 + 157552704 = 667^2 + 12552^2 .

It is not a de Polignac number, because 157997593 - 2¹³ = 157989401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157997563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 467280 + ... + 467617.

It is an arithmetic number, because the mean of its divisors is an integer number (28514389).

Almost surely, 2^157997593 is an apocalyptic number.

157997593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157997593 is a deficient number, since it is larger than the sum of its proper divisors (13088741).

157997593 is an equidigital number, since it uses as much as digits as its factorization.

157997593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934923 (or 934910 counting only the distinct ones).

The product of its digits is 2679075, while the sum is 55.

The square root of 157997593 is about 12569.7093442927. The cubic root of 157997593 is about 540.6092723013.

The spelling of 157997593 in words is "one hundred fifty-seven million, nine hundred ninety-seven thousand, five hundred ninety-three".