157829067 has 40 divisors (see below), whose sum is σ = 270768960. Its totient is φ = 90609840.

The previous prime is 157829047. The next prime is 157829081. The reversal of 157829067 is 760928751.

157829067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157829067 - 2¹⁰ = 157828043 is a prime.

It is a super-3 number, since 3×157829067³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (157829017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12268 + ... + 21590.

It is an arithmetic number, because the mean of its divisors is an integer number (6769224).

Almost surely, 2^157829067 is an apocalyptic number.

157829067 is a deficient number, since it is larger than the sum of its proper divisors (112939893).

157829067 is a wasteful number, since it uses less digits than its factorization.

157829067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 157829067 is about 12563.0039003417. The cubic root of 157829067 is about 540.4169927265.

The spelling of 157829067 in words is "one hundred fifty-seven million, eight hundred twenty-nine thousand, sixty-seven".