35628961 has 9 divisors (see below), whose sum is σ = 36692049. Its totient is φ = 34596324.

The previous prime is 35628953. The next prime is 35628977. The reversal of 35628961 is 16982653.

The square root of 35628961 is 5969.

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

It is not a de Polignac number, because 35628961 - 2³ = 35628953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35628911) 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, 280480 + ... + 280606.

Almost surely, 2^35628961 is an apocalyptic number.

35628961 is the 5969-th square number.

35628961 is the 2985-th centered octagonal number.

It is an amenable number.

35628961 is a deficient number, since it is larger than the sum of its proper divisors (1063088).

35628961 is an frugal number, since it uses more digits than its factorization.

35628961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The cubic root of 35628961 is about 329.0544127690.

The spelling of 35628961 in words is "thirty-five million, six hundred twenty-eight thousand, nine hundred sixty-one".