157833101 has 2 divisors, whose sum is σ = 157833102. Its totient is φ = 157833100.

The previous prime is 157833079. The next prime is 157833113. The reversal of 157833101 is 101338751.

157833101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126585001 + 31248100 = 11251^2 + 5590^2 .

It is a cyclic number.

It is not a de Polignac number, because 157833101 - 2⁶ = 157833037 is a prime.

It is a super-2 number, since 2×157833101² = 49822575542552402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157833131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78916550 + 78916551.

It is an arithmetic number, because the mean of its divisors is an integer number (78916551).

Almost surely, 2^157833101 is an apocalyptic number.

It is an amenable number.

157833101 is a deficient number, since it is larger than the sum of its proper divisors (1).

157833101 is an equidigital number, since it uses as much as digits as its factorization.

157833101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 157833101 is about 12563.1644500898. The cubic root of 157833101 is about 540.4215969134.

The spelling of 157833101 in words is "one hundred fifty-seven million, eight hundred thirty-three thousand, one hundred one".