34257609 has 9 divisors (see below), whose sum is σ = 49508589. Its totient is φ = 22826700.

The previous prime is 34257607. The next prime is 34257611. The reversal of 34257609 is 90675243.

The square root of 34257609 is 5853.

It is a perfect power (a square), and thus also a powerful number.

34257609 is a `hidden beast` number, since 3 + 42 + 5 + 7 + 609 = 666.

It is an interprime number because it is at equal distance from previous prime (34257607) and next prime (34257611).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34257609 - 2¹ = 34257607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34257607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16584 + ... + 18534.

Almost surely, 2^34257609 is an apocalyptic number.

34257609 is the 5853-rd square number.

34257609 is the 2927-th centered octagonal number.

It is an amenable number.

34257609 is a deficient number, since it is larger than the sum of its proper divisors (15250980).

34257609 is an frugal number, since it uses more digits than its factorization.

34257609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 34257609 is about 324.7773117499. Note that the first 3 decimals are identical.

Multiplying 34257609 by its sum of digits (36), we get a square (1233273924 = 35118²).

The spelling of 34257609 in words is "thirty-four million, two hundred fifty-seven thousand, six hundred nine".