157964113 has 2 divisors, whose sum is σ = 157964114. Its totient is φ = 157964112.

The previous prime is 157964111. The next prime is 157964117. The reversal of 157964113 is 311469751.

It is a happy number.

157964113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139405249 + 18558864 = 11807^2 + 4308^2 .

It is an emirp because it is prime and its reverse (311469751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157964113 - 2¹ = 157964111 is a prime.

Together with 157964111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (157964111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78982056 + 78982057.

It is an arithmetic number, because the mean of its divisors is an integer number (78982057).

Almost surely, 2^157964113 is an apocalyptic number.

It is an amenable number.

157964113 is a deficient number, since it is larger than the sum of its proper divisors (1).

157964113 is an equidigital number, since it uses as much as digits as its factorization.

157964113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22680, while the sum is 37.

The square root of 157964113 is about 12568.3775006959. The cubic root of 157964113 is about 540.5710842153.

The spelling of 157964113 in words is "one hundred fifty-seven million, nine hundred sixty-four thousand, one hundred thirteen".