8213601 has 24 divisors (see below), whose sum is σ = 12755232. Its totient is φ = 4685120.

The previous prime is 8213591. The next prime is 8213603. The reversal of 8213601 is 1063128.

8213601 = T₁₃₀ + T₁₃₁ + ... + T₃₇₁.

It is not a de Polignac number, because 8213601 - 2⁹ = 8213089 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483145 + ... + 483161.

It is an arithmetic number, because the mean of its divisors is an integer number (531468).

Almost surely, 2^8213601 is an apocalyptic number.

It is an amenable number.

8213601 is a deficient number, since it is larger than the sum of its proper divisors (4541631).

8213601 is an frugal number, since it uses more digits than its factorization.

8213601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8213601 is about 2865.9380663231. The cubic root of 8213601 is about 201.7643970753.

Adding to 8213601 its reverse (1063128), we get a palindrome (9276729).

The spelling of 8213601 in words is "eight million, two hundred thirteen thousand, six hundred one".