• 202801² = 41128245601 is an anagram of the next square 202802² = 41128651204.

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202801 has 4 divisors (see below), whose sum is σ = 204400. Its totient is φ = 201204.

The previous prime is 202799. The next prime is 202817. The reversal of 202801 is 108202.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 108202 = 2 ⋅54101.

It is a cyclic number.

It is not a de Polignac number, because 202801 - 2¹ = 202799 is a prime.

It is a super-2 number, since 2×202801² = 82256491202, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (202841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

2²⁰²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

202801 is a deficient number, since it is larger than the sum of its proper divisors (1599).

202801 is a wasteful number, since it uses less digits than its factorization.

202801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 202801 is about 450.3343202555. The cubic root of 202801 is about 58.7520958963.

The spelling of 202801 in words is "two hundred two thousand, eight hundred one".