157629161 has 2 divisors, whose sum is σ = 157629162. Its totient is φ = 157629160.

The previous prime is 157629137. The next prime is 157629163. The reversal of 157629161 is 161926751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148962025 + 8667136 = 12205^2 + 2944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-157629161 is a prime.

It is a super-3 number, since 3×157629161³ (a number of 26 digits) contains 333 as substring.

Together with 157629163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (157629163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78814580 + 78814581.

It is an arithmetic number, because the mean of its divisors is an integer number (78814581).

Almost surely, 2^157629161 is an apocalyptic number.

It is an amenable number.

157629161 is a deficient number, since it is larger than the sum of its proper divisors (1).

157629161 is an equidigital number, since it uses as much as digits as its factorization.

157629161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 38.

The square root of 157629161 is about 12555.0452408584. The cubic root of 157629161 is about 540.1887326119.

The spelling of 157629161 in words is "one hundred fifty-seven million, six hundred twenty-nine thousand, one hundred sixty-one".