34798201 has 9 divisors (see below), whose sum is σ = 37072399. Its totient is φ = 32656864.

The previous prime is 34798193. The next prime is 34798271. The reversal of 34798201 is 10289743.

34798201 = T₂₆₃ + T₂₆₄ + ... + T₆₀₉.

The square root of 34798201 is 5899.

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

It can be written as a sum of positive squares in only one way, i.e., 27092025 + 7706176 = 5205^2 + 2776^2 .

It is not a de Polignac number, because 34798201 - 2³ = 34798193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34798271) 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, 100110 + ... + 100456.

Almost surely, 2^34798201 is an apocalyptic number.

34798201 is the 5899-th square number.

34798201 is the 2950-th centered octagonal number.

It is an amenable number.

34798201 is a deficient number, since it is larger than the sum of its proper divisors (2274198).

34798201 is an frugal number, since it uses more digits than its factorization.

34798201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 34798201 is about 326.4767542296.

The spelling of 34798201 in words is "thirty-four million, seven hundred ninety-eight thousand, two hundred one".