35066125 has 32 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 26769600.

The previous prime is 35066117. The next prime is 35066137. The reversal of 35066125 is 52166053.

35066125 = 243² + 244² + ... + 492².

35066125 is a nontrivial binomial coefficient, being equal to C(8375, 2).

It is not a de Polignac number, because 35066125 - 2³ = 35066117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35066093 and 35066102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443836 + ... + 443914.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^35066125 is an apocalyptic number.

35066125 is the 8374-th triangular number.

35066125 is the 2792-nd centered nonagonal number.

It is an amenable number.

35066125 is a deficient number, since it is larger than the sum of its proper divisors (10760435).

35066125 is an equidigital number, since it uses as much as digits as its factorization.

35066125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 35066125 is about 5921.6657284923. The cubic root of 35066125 is about 327.3125007194.

The spelling of 35066125 in words is "thirty-five million, sixty-six thousand, one hundred twenty-five".