157829033 has 2 divisors, whose sum is σ = 157829034. Its totient is φ = 157829032.

The previous prime is 157829017. The next prime is 157829039. The reversal of 157829033 is 330928751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157828969 + 64 = 12563^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 157829033 - 2⁴ = 157829017 is a prime.

It is not a weakly prime, because it can be changed into another prime (157829039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78914516 + 78914517.

It is an arithmetic number, because the mean of its divisors is an integer number (78914517).

Almost surely, 2^157829033 is an apocalyptic number.

It is an amenable number.

157829033 is a deficient number, since it is larger than the sum of its proper divisors (1).

157829033 is an equidigital number, since it uses as much as digits as its factorization.

157829033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 157829033 is about 12563.0025471620. The cubic root of 157829033 is about 540.4169539204.

The spelling of 157829033 in words is "one hundred fifty-seven million, eight hundred twenty-nine thousand, thirty-three".